A normal distribution has a mean of u= 100 with o = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X= 90 and X = 110? a. 0.0015 b. 0.3085 C. 0.3830 d. 0.1915

The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.8 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.38 and 5.58 years old is e. If such a child is at the 40th percentile, how old is that child? years old.

What is the probability that a data value in a normal distribution is between a z-score of -1.13 and a z-score of -0.19? Round your answer to the nearest tenth of a percent. A. 26.5% O B. 28.5% OC. 27.5% OD. 29.5%

The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question

The age of children in kindergarten on the first day of school is uniformly distributed between 4.91 and 5.97 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?

A normal distribution has a mean of u = 40 with a = 10. If a vertical line is drawn through the distribution at X = 35, what proportion of the scores are on the left side of the line? Question 21 options: 0.3085 0.6915 0.0668 0.9332

To the nearest tenth of a percent, the highest consumer price index was occurred in the year

The length of life, in hours, of a drill bit in a mechanical operation has a Weibull distribution with a = 3 and ẞ= 60. Find the probability that the bit will fail before 12 hours of usage. The probability is ☐ (Round to four decimal places as needed.)