Savita and Hamida are friends.What is the probability that both will have (i) The same birthday ? (i) different Birthdays? (ignoring aleap year).
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- A biased coin has a probability of of landing on heads. You toss the coin until it lands on heads. What is the probability that you toss the coin exactly four times?Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =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
- 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…If two people are selected at random, the probability that they do not have the same birthday (day and month) is 365/365, 364/365. Explain why this is so. (Ignore leap years and assume 365 days in a year.)Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
- Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)The probability that event AA will occur is P(A)=P(A)=0.72. What is the probability (in decimal form) that event AA will not occur? P(¯¯¯A)=P(A¯)= What are the odds for event AA? to What are the odds against event AA? toB. Two air force helicopters have a mission to strike and shoot a target in enemy land, the probability that the first pilot hit the target is (1/2), the probability that the second pilot hit the target is (1/4). What the probability that a. The first and second pilot shoot the target? b. One of them shoot the target?