Mimi is into figure skating these days due to the Winter Olympics. She started l

Question

Mimi is into figure skating these days due to the Winter Olympics. She started learning toe loop jumps a couple weeks ago. Her probability of landing a successful single toe loop jump is 0.30. She plans to attempt 10 single toe loop jumps in her practice session tomorrow (a)Let X be the number of successful single toe loop jumps that Mimi lands. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? (b)Find the probability that Mimi lands at least one successful single toe loop jump in her 10 attempts. (round the answer to 3 decimal places) Show all work. Just the answer, without supporting work, will receive no credit.

Explanation / Answer

Solution

(a) P(sucessful single toe loop jump) ,p= 0.30 , q = 1-p = 0.7

and number of trials, n = 10

(b) P(X>=1) = 1-P(X=0)

= 1- (0.70)10 = 0.972

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