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e ways e there for guests to UTO WAOs ahe there guests be seated? for to be seated? 15 points In answering a question on a multiple-choice test, a student either knows the nswer or guesses. The student knows the answer half the times and guesses ot ssume that choices are equally likely to be selected in a multiple choice exam with hoices, when the student guesses. Given that the student has answered the question what is the probability that he knew the answer? and a standard deviation of 0.5 ounce. 0 points] What must the standard deviation of weight be in order for the company orrectly, 15 points The weight of a running shoe is normally distributed with a mean of 10 unces a) 5 points What is the probability that a shoe weighs more than Il ounces b) 10 points What must the standard deviation of weight be in order to state that 99% of its shoes are less than 11 ounces? Errors in an experimental transmission channel are found when the transmission is checked by a certifier that right-hit byte is a random variable with the

Explanation / Answer

Solution:

The weight of a sophisticated running shoe is normally distributed with,
Mean () = 10
S.D () = 0.5
a) The proabability that a shoe weights more than 11 ounces is,
P[X > 11] = P[X-10/0.5 > 11 - 10/0.5]
= P[Z > 2]
= 1-P[Z 2]
= 10.9772 = 0.0228

b) We have to find out standard deviation () is,
P[X < 11] = 0.99
=> P[X - 10/ < 11 -10/] = 0.99
=> P[Z < 1/] = 0.99
=> [1/] = 0.99
=> 1/ = 3.09
=> = 0.3236

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