Exam 5: Probability

The overnight shipping business has skyrocketed in the last ten years. The single greatest predictor of a company's success has been proven time and again to be customer service. A study was conducted to study the customer satisfaction levels for one overnight shipping business. In addition to the customer's satisfaction level, the customers were asked how often they used overnight shipping. The results are shown below in the following table. What is the probability that a respondent did not have a high level of satisfaction with the company? Round the the nearest hundredth.

(a) Simulate the experiment of sampling 100 four-child families to estimate the probability that a four-child family has three girls. Assume that the outcomes "have a girl" and "have a boy" are equally likely. (b) Simulate the experiment of sampling 1000 four-child families to estimate the probability that a four-child family has three girls. Assume that the outcomes "have a girl" and "have a boy" are equally likely.The classical probability that a four-child family has three girls is . Compare the results of (a) and (b) to the probability that would be obtained using the classical method.Which answer was closer to the probability that would be obtained using the classical method? Is this what you would expect?

Find the value of the permutation. -

Evaluate. -

Find the indicated probability. Give your answer as a simplified fraction. -A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below. Given that an accident involved multiple vehicles, what is the probability that it involved alcohol?

Find the indicated probability. -Find P(A and B) given that P(A) = 0.4, P(B) = 0.5, and A and B are independent.

The probability that event A will occur is P(A) =

If you toss a fair coin 3 times, what is the probability of getting all heads? Express the probability as a simplified fraction.

The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that a student majors in only one subject. What is the probability that a randomly selected student with a Bachelor's degree majored in Business, Chemistry or Engineering? Round your answer to three decimal places.

In how many ways can a committee of three men and four women be formed from a group of 8 men and 8 women?

Find the indicated probability. -If P(A) = 0.4, P(B) = 0.3, and P(A and B) = 0.3, find P(A or B) .

Find the indicated probability. If necessary, round to three decimal places. -Suppose that E and F are two events and that P(E) = 0.4 and P( E) = 0.9. What is P(E andF) ?

Find the value of the permutation. -

Six students, A, B, C, D, E, F, are to give speeches to the class. The order of speaking is determined by random selection. Find the probability that (a) E will speak first (b) that C will speak fifth and B will speak last (c) that the students will speak in the following order: DECABF (d) that A or B will speak first.

Find the indicated probability. -Find P(A or B) given that P(A) = 0.7, P(B) = 0.1, and A and B are mutually exclusive.

Find the indicated probability. Give your answer as a simplified fraction. -The overnight shipping business has skyrocketed in the last ten years. The single greatest predictor of a company's success has been proven time and again to be customer service. A study was conducted to study the customer satisfaction levels for one overnight shipping business. In addition to the customer's satisfaction level, the customers were asked how often they used overnight shipping. The results are shown below in the following table. A customer is chosen at random. Given that the customer uses the company less than two times per month, what is the probability that they expressed high satisfaction with the company?

Evaluate the factorial expression. -

Which of the following cannot be the probability of an event?

Assume that P(A) = 0.7 and P(B) = 0.2. If A and B are independent, find P(A and B).

Find the indicated probability. If necessary, round to three decimal places. -Suppose that E and F are two events and that P(E and F) = 0.34 and P(E)= 0.4. What is P( E)?