The heights of children 2 years old are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Find the probability of these events. a) A 2-year-old child is taller than 36 inches. P(X>36) = b) A 2-year-old child is shorter than 34 inches. P(X<34) = c) A 2-year-old child is between 30 and 33 inches tall. P(30< X < 33) =

A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.

Suppose the heights of students in a class follows normal distribution. The mean is 66 inches and the standard deviation is 5 What is the probability that a randomly selected student height is above 69 inches? What is the probability that the height will fall in between 45-54 inches? Which of the following intermediate step is involved in finding probability that a randomly selected student height is more than 70 inches?

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be less than 260 lbs?

Assume that adults have IQ scores that are normally distributed with a mean of 98 and standard deviation of 15. Find the probability that a randomly selected adult has an IQ greater than 104.

A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699

The height of Christmas trees are normally distributed. The standard deviation of Christmas trees is 200 inches and the mean height is 1400 inches. What is the probability that a randomly selected Christmas tree is between 1100 and 1438 inches?

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random person has an IQ between 110 and 125?