Approximately 3% of the newboms are twins. Chocse 5
newborns at random. Mhat is
the probability that none twins? What is the probability that at
least 1 is a twin
?
(a)
Question: What is the probability that none twins?
Answer:
Binomial Distribution
n = 5
p = 0.03
q = 1 -p = 0.97
P(X=0) = qn = 0.975 = 0.8587
So, answer is:
0.8587
(b)
Question: What is the probability that at least 1 is a twin
Answer:
P(X>0) = 1 - P(X=0)
= 1 - 0.8587
= 0.1413
So,
Answer is:
0.1413
Approximately 3% of the newboms are twins. Chocse 5 newborns at random. Mhat is the probability...
Question 3) 1 out of 1000 births results in fraternal twins; 1 out of 1500 births results in identical twins. Identical twins 1 must be the same sex but the sexes of fraternal twins are independent and we assume each sex the probability is 2. Part A. Build the corresponding tree diagram. Part B. If two girls are twins, what is the probability they are fraternal twins? Part C. If there are 5 sets of twin girls, what is the...
D 5. a) Identify the ideal weight range for newborns of twin pregnancies that poses the lowest risk of death. b) Identify the median weights of twins currently being born at 37, 38, and 39 weeks. c) Discuss possible nutrition and health care interventions that could support achieving ideal weight goals for newborns.
1 out of 1000 births results in fraternal twins; 1 out of 1500 births results in identical twins. Identical twins must be the same sex but the sexes of fraternal twins are independent and we assume each sex the probability is 1/2 ; If there are 5 sets of twin girls, what is the probability that at least four of the sets are identical twins?
Lecture19: Problem 3 Previous Problem List Next (1 point) Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given to twins per week by their parents. A sample of 30 sets of two-year-old twin boys was taken, and after one week the attention time received was...
5. Random pigeonholing
100 pigeons p1,…,p100 fly into 500 labelled holes h1,…,h500.
Each pigeon picks a hole uniformly at random and independently from
the choices of the other pigeons.
What is the probability that at least one hole contains at
least 2 pigeons.
Hint: The answer is approximately 0.9999758457295991
What is the probability that at least one hole contains at
least 3 pigeons.
Hint: The answer is approximately 0.4361298523736379.
5. Random pigeonholing 100 pigeons P1,...,P100 fly into 500 labelled holes...
1. Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.899c, and the other twin travels at 0.561c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the...
When an opinion poll calls landline telephone numbers at random, approximately 30% of the numbers are working residential phone numbers. The remainder are either non-residential, non-working, or computer/fax numbers. You watch the random dialing machine make 20 calls. Round all answers to four decimal places. Blank #1: What is the probability that exactly three calls reach working residential numbers? Blank #2: What is the probability that at most three calls reach working residential numbers? Blank #3: What is the probability...
Studies have suggested that twins, in their early years, tend to have lower IQs and pick up language more slowly than nontwins. The slower intellectual growth might be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given to twins per week by their parents. A sample of 40 sets of 2 year old boys is taken, and after 1 week the attention time received was recorded. The data (in hours) calculated the mean...
If X has a binomial random variable with probability distribution f(x) = ?C, (2/5)* (3/5)3-* , x = 0, 1, 2, 3 find the probability distribution of the random variable Y = x.
The probability that a standard normal random variable Z is less than -3.5 is approximately 0. True False