Please solve all the questions. 1. Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. the probability that Z is more than 0.87 is ?
Please solve all the questions.
1. Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. the
2. Given that X is a
3. Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is more than 0.77 is ?
4. The length of certain items follow a normal distribution with mean A cm and standard deviation 6 cm. it is known that 4.78% of the items have a length grater than 82 cm. find the value of the mean ?
5. Two draws are made at random without replacement from a box with four numbers: 1, 2, 3, 4. Find the probability that the second draw will be a 3 .
6. For some positive value of X, the probability that a standard normal variable is between 0 and +2X is 0.4452. the value of X is
7. A fair die is tosses twice, and and the up face is recorded each time. Let X be the sum of the up faces. What is P(X<8) ?
8. The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation od 0.8 pound. Assuming the weights of catfish are normally distributed , above what weight (in pounds) do 89.80% of the weights occurs?
9. The owner of a fish market determined that the average weight for a catfish is 5 pounds with a standard deviation od 0.5 pound. Assuming the weights of catfish are normally distributed, above what weight (in pounds) do 65% of the weights occurs?
10. Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. the probability that Z is more than 0.77 is ?
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