A softball player's batting average is defined as the ratio of hits to at bats. Suppose that a player has a 0.250 batting average and is very consistent, so that the probability of a hit is the same every time she is at bat. During today's game, this player will be at bat exactly three times. (a) What is the probability that she ends up with two hits? (b) What is the probability that she ends up with no hits? (c) What is the probability that she ends up with exactly three hit? (d) What is the probability that she ends up with at most one hit?

The probability of rain during winter is 0.8. The probability of a heat wave during winter is 0.1. Rain and heat waves cannot coexist at the same time. What is the probability of having either a rainy day or a heat wave during winter? a. 1 b. 0.9 c. 0.08 d. 0.82

The table shown here represents the number of televisions per American household. According to this table, what is the probability that a given household will have MORE THAN 3 TV's?

A commuter must pass through 5 traffic lights on her way to work each day, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits and is shown below. # of red lights Probability 0 0.05 1 0.25 2 0.35 3 0.15 4 0.15 5 0.05 What is the probability that the commuter will stop for at most 3 lights? Express your answer in decimal form as shown in the table.

Assume it was determined from a random sample of customers that the probability of buying cake is 40%; the probability of buying ice cream is 62%; and the probability of buying cake or ice cream is 86%. What is the probability of buying chocolate ice cream and frozen yogurt? (Round your answer to 2 decimals)

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

The probability that a randomly chosen sales prospect will make a purchase is 20%. What is the probability (to three decimal places) that the salesperson will make four or more sales if six sales calls are made on a given day?

Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?

In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the probability the defendant is acquitted given innocence is 0.95. Suppose 90% of defendants are truly guilty. Given that the defendant is convicted, find the probability that he was actually guilty.

QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…