If the probability of a defective bolt is 0.1, find (a) the mean, and (b) the standard deviation of defective bolts in a total of 900. Also calculate skewness and kurtosis.

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -1.24°C and 0°C.

Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per minute and a standard deviation fo 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per minute and 77 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 77 beats per minute. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution…

Assume that adults have IQ scores that are normally distributed with a mean of 96.1 and a standard deviation of 18.1. Find the probability that a randomly selected adult has an IQ greater than 129.0. The probability that a randomly selected adult from this group has an IQ greater thanb 129.0 is ​(Round to four decimal places as​ needed.)