### Understanding Probability in Basketball Free Throws#### ScenarioWhen practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable \( X \) be the number of free throws she makes.#### Problem 1: Probability Calculation**Question:** Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places.**Input Box:** ```plaintext[ ]```#### Problem 2: Expected Value Calculation**Question:** What is the expected value of \( X \)? Interpret this value.**Input Box:** ```plaintext[ ]```### ExplanationIn this problem, we are dealing with a binomial distribution scenario where the probability of each free throw is constant (67%) and each trial (free throw) is independent of the others. We will calculate the probability for Rachel making exactly 5 free throws out of 12 attempts, and then compute the expected number of successful free throws.

Name: ### Understanding Probability in Basketball Free Throws#### ScenarioW
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ### Understanding Probability in Basketball Free Throws#### ScenarioWhen practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable \( X \) be the number of free throws she makes.#### Pr

Answered: Image /qna-images/answer/c8be6e9f-4fb6-433b-ab1e-13f4df2cdbce.jpg

Math

Statistics

When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.

When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The probability that a student has a visa card is 81. The probability that a student has a masters card is .17. The probability that a student has both is .06. Find the probability that a student has either a visa card or a master card.
In the past year, 10% of businesses have eliminated jobs. If 5 businesses are selected at random, find the probability that at least 3 have eliminated jobs during the last year. Round your answer to at least three decimal places. P(at least 3 have eliminated jobs during the last year)=
do not use chatgpt, Explain it correctly with formula.
The probability that an adult possesses a credit card is.75. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card Type your answer here:
An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled
The average number of children a Japanese woman has in her lifetime is 1.37. Suppose that one Japanese woman is randomly chosen. In words, define the random variable X. List the values that X may take on. Find the probability that she has no children. Find the probability that she has fewer children than the Japanese average. Find the probability that she has more children than the Japanese average.
Solve the problem.Suppose the candidate pool for two appointed positions includes 10 women and 5 men. All candidates were told that the positions were randomly filled. Find the probability that two men are selected to fill the appointed positions. Select one: A. 0.095238 B. 0.238095 C. 0.428571 D. 0.133333
Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. Find the probability that 8 or fewer chips in a sample of 200 are defective.
The probability that it will snow in a city in December is 0.4 a. find the probability that it will not snow on a given day b. find the probability that it will snow on two consecutive days.
A group of people were asked if life exists elsewhere in the galaxy. 247 responded "Yes", and 432 responded "No". Find the probability that if a person is chosen at random, the person believes life exists elsewhere in the galaxy.Probability = (Round to 4 decimal places)
Two dice are rolled and someone indicates that the two numbers that come up are different. Find the probability that the sum of the two numbers is 6.6. Answer:
The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 30 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.8%? Interpret this probability. Assume that o = 1.25%. The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. About % of samples of 43 cities will have a mean childhood asthma prevalence greater than 2.8%. O B. About % of samples of 30 cities will have a mean childhood asthma prevalence greater than 2.38%. O C. About % of samples of 30 cities will have a mean childhood asthma prevalence greater than 2.8%. Click to select your answer(s). P Type here to search 99+ a (? 1:42 PM 4/11/2021 ho insen 144 ese & t backspace %23 3. %24 4 6. 8 2. Y W tab H. J. K pase 5 R