he First Mortgage Company has noted that 6% of its customers pay their mortgage payments after the due date. a. What is the probability that in a random sample of 150 customers 7 will be late on their payments? b. What is the probability that in a random sample of 150 customers at least 10 will be late on their pa

es The Internal Revenue Service is studying the category of charitable contributions. A sample of 25 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 25 returns, five had charitable contributions of more than $1,000. Four of these returns are selected for a comprehensive audit. a. The hypergeometric distribution is appropriate because it is Osampling a small population without replacement. O sampling a small population with replacement. O sampling a large population without replacement. b. What is the probability exactly one of the four audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.) Probability

Approximately 75% of all marketing personnel are extroverts, whereas about 60% of all computer programmers are introverts. a. At a meeting of 10 marketing personnel,i. If ? is the number of marketing personnel that are extrovert, write the formula for the probability ?(?).ii. What is the probability that 3 or more are extroverts?iii. Find the expected value of marketing personnel that are extroverts.

(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.

There is a 0.9985 probability that a randomly selected 30-year-old male lives through the year. A life insurance company charges $191 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $120,000 as a death benefit. Complete parts (a) through (c) below.

the sales manager knows that 10% of his clients do not pay their debts in full. He supposes that he selects a sample of 100 clients. What is the probability that 14% or more will not be fulfilled in their obligations?