The chance that a U.S. police chief believes the death penalty "significantly reduces the number of homicides" is 1 in 4. If a random sample of 8 police chiefs is selected, find the probability that at most 3 acknowledge that the death penalty significantly reduces the number of homicides.

a. What makes the Constitution of the United States an enduring document? b. Why is the process for amending the Constitution so complicated?

The chance that a U.S. police chief believes the death penalty "significantly reduces the number of homicides" is one in four. If a random sample of eight police chiefs is selected, find the probability that at most three believe that the death penalty significantly reduces the number of homicides.

A social security number consists of nine digits. How many different social security numbers are possible if repetition of digits is permitted?

A Social Security Number is a sequence of nine digits. a. How many Social Security Numbers are possible? b. How many of them begin with either 023 or 003? c. How many Social Security Numbers are possible if no two adjacent digits are the same? (For example, 235-93-2345 is permitted, but not 126-67-8189.)

Each social security number is a sequence of nine digits. What is the probability of randomly generating nine digits and getting your social security number?

Explain control of the basic rhythm of breathing.

A study conducted by a TV station showed the number of televisions per household and the corresponding probabilities for each. Find the mean, variance, and standard deviation.

If you were taking a survey on the programs that were watched on television, how many program diaries would you send to each household in the survey?

It has been reported that $20.4 \%$ of incoming freshmen indicate that they will major in business or a related field. A random sample of 400 incoming college freshmen was questioned about their preference, and 95 replied that they were considering the business as a major. Calculate the true proportion of freshman business majors with $98 \%$ confidence. Does your interval contain $20.4$?

A producer plans an outdoor regatta for May 3 . The cost of the regatta is $\$ 8000$. This includes advertising, security, printing tickets, entertainment, etc. The producer plans to make $\$ 15,000$ profit if all goes well. However, if it rains, the regatta will have to be canceled. According to the weather report, the probability of rain is $0.3$. Determine the producer's expected profit.

Of Americans using library services, $67\%$ borrow books. If 5 patrons are chosen at random, what is the possibility that all borrowed books? That none borrowed books?

A box contains 5 pennies, 3 dimes, 1 quarter, and 1 half-dollar. A coin is drawn at random. Construct a probability distribution and draw a graph for the data.

A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to happen? Explain your answer.

A market research organization has found that 40% of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, what is the probability that fewer than 500 will refuse to cooperate?