Question

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 20 minutes. What is the probability that washing dishes tonight will take me more than 14 mimutes? Answer = (13) (1+1+1+1 point) For a standard normal distribution, find a) P(Z≤1.56) b) P(Z>−2.3)= c) P(−2.45

Answer 1

To find the probability that washing dishes tonight will take more than 14 minutes, we can use the uniform distribution and calculate the area under the probability density function (PDF) from 14 to 20 minutes. The probability is equal to the length of the interval (20-14) times the PDF value, which is 0.6.

Step-by-step explanation:

To find the probability that washing dishes tonight will take more than 14 minutes, we need to find the area under the probability density function (PDF) of the uniform distribution from 14 to 20 minutes.

Since the distribution is uniform, the PDF is a horizontal line. The PDF value is equal to the reciprocal of the interval length, which in this case is 1/ (20-10) = 1/10.

Therefore, the probability is equal to the length of the interval (20-14) times the PDF value:

P(>14 minutes) = (20-14) * (1/10) = 6/10 = 0.6