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- c) The probability that Rudy passes Statistics is and the probability that he passes 7 10 English is 4 3 If the probability of passing both courses is find the probability that 5 Rudy will pass at least one of these courses.In a pastry shop in a small town, the probability that a customer buys apple tarts is0.45, the probability they buy an apple pie is 0.69 and the probability that they buy bothan apple tart and an apple pie is 0.27. A customer is chosen at random.i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they alsobuy an apple tart? b) The weight of a green forest frog has a normal distribution with mean 150.3 g and astandard deviation of 5g. Find the probability that a randomly selected frog weighsi. Less than 153g ii. Between 150 g and 158 g c) The random variable X is normally distributed such that X~N(?, 12). It is known that?(? > 32) = 0.0618. find the value of ?.Q3/ Explain each of the following branches, then choose the correct answer i. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and blue balls is: ii. iii. one a. 3 b. 1 28 16 persons shake hands with one another in a party How many shake hands took place? a. 124 b. 120 c. 165 d. 150 - 1/1/12 28 C. 167 168 d. In a college 30% student fail in physics, 25% fail in mathematics and 10% fail in both. One student is chosen at random. The probability that he fails in physics if he has failed in mathematics is
- Q2: In a given elections, 57% of Muslims who participated (voted) were males and 38% of Christians voted were females. If the percentage of Muslim participants were 69% and events are M.E. and C.E. Find the probability of a Muslim or female to a. participate (vote)? b. Find the probability of a Christian to vote given he is a male?Suppose the probability of winning a blackjack hand is .48. What is the probability that the first hand you win happens on the third attempt? S.. nIn a box of assorted cookies, 36% contain chocolate and 12% contain nuts. Of those, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts.a. Find the probability that a cookie contains chocolate or nuts (he can't eat it).b. Find the probability that a cookie does not contain chocolate or nuts (he can eat it).
- The probability of visiting the zoo is 0.80. The probability of visiting the caverns is 0.55. The probability of visiting both is 0.42. What is the probability of the visiting the zoo or the caverns? 1) 0.93 2) 0.44 3) 1.35 4) 0Helen plays basketball. Helen must now attempt two free throws. C = the event that Helen succeeds on the first shot with P(C) = 0.50. D = the event Helen succeeds on the second shot with P(D)= 0.50. The probability that Helen succeeds on the second shot given that she succeeds on the first one is 0.63. What is the probability that Helen succeeds in both shots?Ken has applied to both FSU and the UGA. He thinks the probability that FSU will admit him is 0.4, the probability that UGA will admit him is 0.5, and the probability that both will admit him is 0.1. What is the probability that Ken will not get into either school?
- John is having a dinner at a restaurant, which sells 3 kinds of dishes, A, B, and C. The probabilities of ordering each dish are 0.4, 0.3, and 0.3. Suppose the probability of John being satisfied after eating the dishes are 0.7, 0.5, and 0.6, respectively. Answer the questions below. 1) When John wasn’t satisfied with his dish, what is the probability that he has eaten the dish B? (Round an answer to two decimal places.) 2) What is the probability that John satisfies after eating the dish?B. 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?A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?