Based on a​ poll, among adults who regret getting​ tattoos, 28​% say that they were too young when they got their tattoos. Assume that four adults who regret getting tattoos are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below.

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

d. If we randomly select four ​adults, is 1 a significantly low number who say that they were too young to get​ tattoos

No/Yes, because the probability that more than 1/at most 1/less than 1/at least 1/exactly 1 of the selected adults say that they were too young is less than/equal to/greater than 0.05.

Based on a​ poll, among adults who regret getting​ tattoos, 23​% say that they were too young when they got their tattoos. Assume that ten adults who regret getting tattoos are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below.

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

d. If we randomly select ten ​adults, is 1 a significantly low number who say that they were too young to get​ tattoos?

▼No, Yes,

because the probability that

▼at least 1, more than 1, exactly 1, less than 1, at most 1

of the selected adults say that they were too young is

▼greater than less than or equal to

0.05.

1. Assume that every time Jordan plays golf her score is normally distributed with mean 100 and standard deviation 6.
   1. Jordan is playing golf with her friend Joey who gets a score of 112. What is the probability that Jordan gets a score less than or equal to Joey's?
   2. Jordan is playing golf with another friend, Lillian, who gets a score of 106. What is the probability that Jordan gets a score greater than or equal to Lillian's?
   3. For what number is there an 84% probability that Jordan will get a score less than or equal to it? HINT: For instance, 100 is the number that Jordan has a 50% probability of scoring less than or equal to.
   4. These three friends decide to play four games of golf and record their average (mean) scores. Joey's average score is 94 and Lillian’s average score is 103. What is the probability that Jordan’s average score after playing four games of golf is between her two friends’ average scores (greater than or equal to Joey’s and less than or equal to Lillian’s)?

2. (25p) You are about to take a 16-question true-false test. Assume you answer all 16 questions by guessing.
What is the probability of getting more than 10 questions correct?

3. (25p) A telephone number is selected at random from a directory. Suppose X denote the last digit of selected telephone number. Find the probability that the last digit of the selected number is
a. 5
b. less than 5
c. greater than or equal to 9

4. (25p) Suppose that the random variable Family income ~ N($65000, $320002). If the poverty level is $24,000, what percentage of the population lives in poverty?

The number of loaves of bread sold per day by an organic bakery over the past five years can be treated as a random variable that is normally distributed. This distribution has a mean of 77.5 and a standard deviation of 14.4 loaves. Suppose a random sample of 36 days has been selected. Determine the probability that the average number of loaves sold in the sample of days exceeds 80 loaves. First find the standard error of the mean.

Now calculate the Z (Standard) Score. Round your answer to two decimal places

Now find the probability that the average number of loaves sold in the sample of days exceeds (is greater than) 80 loaves.

It is known that 20% of products on a production line are defective. a. Randomly pick 5 products. What is the probability that exactly 2 are defective? b. Products are inspected until first defective is encountered. Let X = number of inspections to obtain first defective. What is the probability that X=5?

Our event of interest is whether a defective chip is found in a set of chips, and let Y be the number of chips that must be sampled until a defective one is found. The researchers estimate the probability of a defective chip at 30%. What is the probability that the 8th selected chip be the first defective one?

Nuclear physicist found the probability of neutral particles being reflected was 0.16 and of being absorbed as 0.84.

a. What is the expected number of particles that would be reflected if 1,000 are released?

b. Assuming the normal approximations to the binomial distribution, what is the probability that 140 or fewer particles would be absorbed?

If I roll the six-sided dice 4times, Let N1 be the number of 2 and N2 be the number of 6

so what is the probability mass function of N1 and N2? and what is the covariance between two random variables