expected value of a normal distribution

The graph of a normal distribution will be ________. => It has no predictable shape or Skewed left or Skewed right or Symmetric..

A survey asks 'How much time do you spend in front of the TV in one week? Suppose the responses are normally distributed, the mean is 10 hours and the standard deviation is 2 hours. Suppose there are 50 responses to the survey question. How many would you expect to spe..

Assume that the weights of 3,000 students at a university are normally distributed with mean 150 pounds and a standard deviation of 2.72 pounds. How many samples would you expect to find the mean between 147 and 155 pounds? => 83 or 82 or 84 or 81..

The full term birth weight of babies in a hospital is normally distributed with a mean of 3.0 kg and a standard deviation of 0.5 kg. If 300 babies were weighed, about how many of them would be expected to weigh between 2.5 to 3.5 kg? => 250 or 200 or 205 or 100..

If x is a discrete random variable assuming the values x 1 , x 2 , x 3 ,….,x n with probabilities p 1 , p 2 , p 3 ,…., p n respectively then (x 1 ,p 1 ), (x 2 , p 2 ),…(x n , p n ) defines a probability distribution of X. Mathematical Expectationh..

When can the normal distribution be used as an approximation to the binomial distribution? => n . p = 5, n . q = 5 or n . p ≤ 5, n . q ≤ 5 or n . p > 5, n . q < 5 or n . p ≥ 5, n . q ≥ 5..

The probability distribution for the number of clients visiting a bookshop daily is presented as under. Find the mean and the standard deviation of the distribution. What is the expected number of clients visiting the bookshop? => mean = 67.66, standard deviation = 11...

What is the total area under the normal distribution curve? => 100% or 50% or 99.7% or 1%..

Write the percentage of the area shaded in the normally distributed curve shown. => 4.7% or 2.35% or 95% or 99.7%..

A survey asks 'How much time do you spend in front of the TV in one week? Suppose the responses are normally distributed, the mean is 10 hours and the standard deviation is 2 hours. What value in hours is one standard deviation above the mean, and one standard deviatio..