9) Given P(5 successes)-0.032 and P(5 or more success)- 0.083: a) Conclude that

Question

9) Given P(5 successes)-0.032 and P(5 or more success)- 0.083: a) Conclude that 5 successes are likely to happen by chance. b) Conclude that 5-success is a significantly high number of successes. c) Conclude that 5-success is not a significantly high number of successes. 10) Determine if the following two events, are dependent or independent A: Select a student with a June birthday from a group of 15 students. (without replacement) B: Select a second student with a June birthday from the same group. a) independent b) dependent. 11) Each question in a multiple choice test contains 5 choices. To find the probability that the first 3 questions are answered correctly by random guessing, we can. a) Use binomial distribution with n 5, p 0.2, x 2 to find the probability b) Use multiplication rule: (0.2) c Use combination rule and probability 1/ sCs to find the probability. 12) If X is a continuous random variable, P(X2 8) and PX> 8) are related by a) The two probabilities are equal b)P(X 28) is larger X8) is larger

Explanation / Answer

Question 9

Pr(5 success) = 0.032

Pr(5 and more success) = 0.083

Pr(more than 5 success) = 0.083 - 0.032 = 0.051

so we can say that 5 successes are significantly higher successes as successes probability is goind down.

Question 10

As the events are independent here as any one student can have birthday in June even all 15 can have birthdays in June. So events are independen here.

Question 11

OPtion b is correct as first three is asked in question so, probability of first three right question is (0.2)3

Question 12

Here P(X >= 8) is larger than P(X > 8) as it includes the value of probability of 8 also. Option B is correct.

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