A roller-skater has a difficult trick with a 16% of success. They try the trick 25...
A roller-skater has a difficult trick with a 16% of success. They try the trick 25 times and want to know the probability of exactly 4 successes.
Compute:
(a) the exact answer
(b) the Poisson approximation
(c) the normal approximation (Hint: you must use the histogram correction.)
Homework Answers
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A roller-skater has a difficult trick with a 16% of success.
They try the trick 25...
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to...
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to answer parts a through d. a. what are the mean and standard deviation for this distribution? b. what us the probability of exactly 16 successes? c. what is the probability of 14 to 25 successes? d. what is the probability of 12 to 20 successes?
Create a Binomial Probability Distribution by following the steps below. 1. Label column A as x...
Create a Binomial Probability Distribution by following the steps below. 1. Label column A as x 2. Label Column B as P(x) 3. In Column A, list the numbers 0 to 12. What do these numbers represent in our situation? 4. Click on cell B2. Click on fx. Choose STATISTICAL then BINOM.DIST. 5. In the dialog box: Number_s is the number of successes. Click on cell A2 Trials refers to the total number of trials, in our case 12 donors...
V. Simple and joint events Following are success data for businesses in one city. Not profitable...
V. Simple and joint events Following are success data for businesses in one city. Not profitable Profitable 23 29 Company size Large Medium Small Total 59 14 Total 52 73 212 337 180 262 32 75 A company is randomly selected. Which of these outcomes are simple events and which are joint events? Large but not profitable • Medium sized Small sized • Profitable and small size 52 Company size Large Medium Small Total Profitable 23 59 180 262 Not...
A study was conducted to determine success rates of students enrolled in the Statistics courses o...
A study was conducted to determine success rates of students
enrolled in the Statistics courses offered at South Plains College
for the fall semester of 2015. A random sample of 14 students was
taken, and we recorded each
student’s age, final average, gender, # hours worked per week,
race, and the attendance record (# of classes not attended this
semester). Use the results from the following table to answer all
parts of #2
f. For the age variable, construct 3...
1. Suppose that random variables X and Y are independent and have the following properties: E(X)...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....
Answer the following to understand probability. Pass the Pigs Pass the Pigs is a game in...
Answer the following to understand probability.
Pass the Pigs Pass the Pigs is a game in which players toss pig dice. The players score points based on the way the pig snout with two feet, and snout with one ear. 8 We want to know the probability of the pig landing on its back after it has been tossed. Since we don't After the pig is tossed in the air, it can land in sik different ways: left side, right...
R studio #Exercise : Calculate the following probabilities : #1. Probability that a normal random variable...
R studio #Exercise : Calculate the following probabilities : #1. Probability that a normal random variable with mean 22 and variance 25 #(i)lies between 16.2 and 27.5 #(ii) is greater than 29 #(iii) is less than 17 #(iv)is less than 15 or greater than 25 #2.Probability that in 60 tosses of a fair coin the head comes up #(i) 20,25 or 30 times #(ii) less than 20 times #(iii) between 20 and 30 times #3.A random variable X has Poisson...
1. Suppose you're back at home and you need to schedule an appointment with your internet provide...
1. Suppose you're back at home and you need to schedule an appointment with your internet provider to have someone come over and fix it. You have to be at home to let the person in. If you miss the serviceperson, you have (a) Although you're given an exact time (3:00pm), the company tells you that the serviceperson could show up Let X - the arrival time (in minutes) of tife serviceperson relative to the scheduled time. Then based on...
13) Find the probability of selectiny 2 or more girls. A) 0.001 B) 0.999 C) 0.006...
13) Find the probability of selectiny 2 or more girls. A) 0.001 B) 0.999 C) 0.006 D) 0.991 Assume that a procedure yields a binomial distribution with a trial repeated times. Use the binomial probability Formato find the probability of successes given the probability pot success on a single trial. Round to three decimal places. 14) n-6,-3,p- the 14) A) 0.015 50.054 C) 0.032 D) 0.029 . iv . d - 6 15) Find the indicated probability. 15) The brand...
Have to show work for every problem 4. A company uses three plants to produce a...
Have to show work for every problem
4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...
V. Simple and joint events Following are success data for businesses in one city. Not profitable Profitable 23 29 Company size Large Medium Small Total 59 14 Total 52 73 212 337 180 262 32 75 A company is randomly selected. Which of these outcomes are simple events and which are joint events? Large but not profitable • Medium sized Small sized • Profitable and small size 52 Company size Large Medium Small Total Profitable 23 59 180 262 Not...
A study was conducted to determine success rates of students
enrolled in the Statistics courses offered at South Plains College
for the fall semester of 2015. A random sample of 14 students was
taken, and we recorded each
student’s age, final average, gender, # hours worked per week,
race, and the attendance record (# of classes not attended this
semester). Use the results from the following table to answer all
parts of #2
f. For the age variable, construct 3...
Answer the following to understand probability.
Pass the Pigs Pass the Pigs is a game in which players toss pig dice. The players score points based on the way the pig snout with two feet, and snout with one ear. 8 We want to know the probability of the pig landing on its back after it has been tossed. Since we don't After the pig is tossed in the air, it can land in sik different ways: left side, right...
1. Suppose you're back at home and you need to schedule an appointment with your internet provider to have someone come over and fix it. You have to be at home to let the person in. If you miss the serviceperson, you have (a) Although you're given an exact time (3:00pm), the company tells you that the serviceperson could show up Let X - the arrival time (in minutes) of tife serviceperson relative to the scheduled time. Then based on...
13) Find the probability of selectiny 2 or more girls. A) 0.001 B) 0.999 C) 0.006 D) 0.991 Assume that a procedure yields a binomial distribution with a trial repeated times. Use the binomial probability Formato find the probability of successes given the probability pot success on a single trial. Round to three decimal places. 14) n-6,-3,p- the 14) A) 0.015 50.054 C) 0.032 D) 0.029 . iv . d - 6 15) Find the indicated probability. 15) The brand...
Have to show work for every problem
4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...
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