Of 40 bank accounts at a small bank, 28 accounts have values of less than $1,000 and the rest have values of at least $1,000. Suppose 5 accounts are randomly sampled (See exercise 9 on page 184 of your textbook for a similar problem.) Question What is the probability that exactly 4 of the 5 accounts have values of at least $1,000? ABC Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors find any defective parts in a random sample of 6 parts from the shipment. The supplier has been in business many years and has a long-term defective rate for parts of 5.6%. Question 2 What is the probability that a shipment will be rejected after a given sample of parts is checked?

A recent study has shown that approximately 31.6% of Canadians are considered 'supertasters,' or people who experience the sense of taste with greater intensity than average. Consider a sample of 23 Canadians, each of whom are asked to indicate if they are a supertaster or not. Please use this information to answer the following questions.a. Suppose you know that at least 7 of the Canadians sampled are supertasters. What is the probability that exactly 15 of the Canadians sampled are supertasters?Answer:______________Round to at least FOUR digits after the decimal if necessary. b. What is the probability that the 10th Canadian sampled is the sixth person to indicate that they are a supertaster?Answer:______________Do NOT round your answer; give all the decimals.

(This is a introduction to statistics course) From past records, a department store finds that 70% of the people who enter the store will make a purchase on Black Friday.  Suppose that 3 customers are randomly selected at the store, answer the following questions:   1) What is the chance that exactly one out of three customers make a purchase?  Give your answer (%) rounded to one decimal place.  (For example, if your answer is 0.5125 (51.25%), then it will be 51.3% after being rounded to one decimal place.)      2) Explain clearly.

Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female?   2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?   3. What percent of Spanish speaking students are male?   4. If someone does not speak Spanish what is the probability they are female?