About 9% of children in a country are allergic to peanuts. Choose three children at random...
About 9% of children in a country are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. Make a three-stage tree diagram of the outcomes (allergic or not allergic) for the three individuals and use it to find the probability distribution of X. (Round your answers to six decimal places.)
Homework Answers
The probability distribution of X can be ontained as
P(X =0) = 0.09*0.09*0.09 = 0.000729
P(X=1) = 0.91*0.09*0.09 + 0.09*0.91*0.09 + 0.09*0.09*0.91 = 0.022113
P(X=2) = 0.91*0.91*0.09 + 0.09*0.91*0.91 + 0.91*0.09*0.91 = 0.223587
P(X=3) = 0.91*0.91*0.91 = 0.753571
Add Answer to:
About 9% of children in a country are allergic to peanuts.
Choose three children at random...
A family has three children. If the genders of these children are listed in the order...
A family has three children. If the genders of these children are listed in the order they are born, there are eight possible outcomes: BBB, BBG, BGB, BGG, GBB, GBG, GGB, and GGG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X.Part 1 out of 2Find the number of possible values for the random variable X.There are _______ possible values for the random variable X.
a.) Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly...
a.) Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (ignoring other groups and people who consider themselves to belong to more than one race), 82% of the population is white, 14% is black, and 4% is Asian. Moreover, 15% of whites, 70% of blacks, and 90% of Asians are lactose intolerant. (i) What percent of the entire population is lactose intolerant?...
Suppose that the genders of the three children of a certain family are soon to be...
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is gbb, then R(gbb) = 2. Suppose that the random variable X is defined in terms of R as follows: X=2R-2. The values of X...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal ch...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of...
Let the random variable x represent the number of girls in a family with three children....
Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.31. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 1 2 3 P(x) 0.329 0.443 0.199...
Answer asap please. Question 2 Suppose that the genders of the three children of a certain...
Answer asap please.
Question 2 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is ggg, then R(988) = 3. Suppose that the random variable X is defined in terms of R as follows:...
According to the Center for Disease Control (CDC), about 1 in 88 children in the United...
According to the Center for Disease Control (CDC), about 1 in 88 children in the United States have been diagnosed with autism. a. In your study, you are randomly selecting a group of 24 children from the population of school-aged children in your area. Your random variable is the number of children in your sample with autism. Explain why you can use the binomial probability distribution to determine the probabilities of possible number of children in your study having autism...
Determine whether the random variable X has a binomial distribution. If it does, state the number...
Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n . If it does not, explain why not. Twenty students are randomly chosen from a math class of 70 students. Let X be the number of students who missed the first exam. Choose the statement The random variable (?CHOOSE ONE?) a binomial distribution. Choose the statement that explains why does not have a binomial distribution. More than one may apply. A)...
12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar-...
12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar- rangements of girls and boys. For ex ample, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely (a) Write down all eight arrangements of the sexes of three children. What is the probability of any one of these arrangements! (b) Let X be the number of girls the couple has. What...
Let the values of the random variable of interest in the population be given by the...
Let the values of the random variable of interest in the population be given by the numbers {1, 2, 3}. Let p(x) = 1/3 for x = 1, 2, 3. Take samples of size 3 with replacement. Obtain the sampling distribution of the sample variance S^2 . Make sure to provide a table with all the samples you may obtain and their sample S^2 then summarize and give the distribution containing the unique values of S^2 and their probability.
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is gbb, then R(gbb) = 2. Suppose that the random variable X is defined in terms of R as follows: X=2R-2. The values of X...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of...
Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.31. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 1 2 3 P(x) 0.329 0.443 0.199...
Answer asap please.
Question 2 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is ggg, then R(988) = 3. Suppose that the random variable X is defined in terms of R as follows:...
According to the Center for Disease Control (CDC), about 1 in 88 children in the United States have been diagnosed with autism. a. In your study, you are randomly selecting a group of 24 children from the population of school-aged children in your area. Your random variable is the number of children in your sample with autism. Explain why you can use the binomial probability distribution to determine the probabilities of possible number of children in your study having autism...
12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar- rangements of girls and boys. For ex ample, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely (a) Write down all eight arrangements of the sexes of three children. What is the probability of any one of these arrangements! (b) Let X be the number of girls the couple has. What...
Most questions answered within 3 hours.
-
Give a unary language (using only input alphabet ∑={1} )that is
not Turing- recognizable and prove...
asked 5 minutes ago -
1. Write the balanced net reaction for a Ti (s) | TiCl2 (aq) ||
InCl3 (aq)...
asked 3 minutes ago -
3) Answer the following questions:please respond in one
paragraph
In your opinion, what are the crucial...
asked 9 minutes ago -
Assume that the readings at freezing on a batch of thermometers
are normally distributed with a...
asked 15 minutes ago -
MENSA Int'l just paid a dividend of $1.25. Their growth rate in
dividends is 10% and...
asked 13 minutes ago -
4. The excitation of a 414 V, 3-phase, delta-connected
synchronous motor is such that that the...
asked 30 minutes ago -
3. (20 pts) In the Carnot engine (refer to the figure in
question 2), an ideal...
asked 37 minutes ago -
A contestant is facing 10 closed doors. Behind one of these
doors there is a prize....
asked 39 minutes ago -
Showing appropriate work and equations, what is the yield to
maturity on a share of Six...
asked 54 minutes ago -
what would be the best entry mode in shipping from the U.S to Spain
by boat...
asked 59 minutes ago -
Under certain conditions, the substance ammonium
nitrate can be broken down to form dinitrogen
monoxide and...
asked 1 hour ago -
1. A boy stands on one end of a boat, and then walks to the
other...
asked 1 hour ago