Based on his past record, Luke, an archer for a college archery team, has a probability...

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Based on his past record, Luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner ring of the target with a shot of the arTOw. Assume that in one practice Luke will attempt 5 shots of the arrow and that each shot is independent from the others. Let the random variable X represent the number of times he hits the inner ring of the target in 5 attempts. The probability distribution ofX is given in the table. 2. 3. 4 5. P(X) 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049 what is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X ? (A) 0.40951 (B) 0.50000 (C) 0.59049 (D) 0.91854 (E) 0.99144 Based on his past record, Luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner ring of the target with a shot of the arTOw. Assume that in one practice Luke will attempt 5 shots of the arrow and that each shot is independent from the others. Let the random variable X represent the number of times he hits the inner ring of the target in 5 attempts. The probability distribution ofX is given in the table. 2. 3. 4 5. P(X) 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049 what is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X ? (A) 0.40951 (B) 0.50000 (C) 0.59049 (D) 0.91854 (E) 0.99144