1-Assume that random guesses are made for eight multiple choice questions on an SATtest, so that there are N=8 trials, each with probability of success(correct) given by p=0.3. Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is fewer than 4. p(X<4)=

2- According to a collegesurvey, 16% of all students work full time. Find the mean for the number of students who work full time in samples of size 21. Round to the nearest hundredth.

3- Use the Poisson Distribution to find the indicated probability.

If the random variable x has a Poisson Distribution with mean = 3, find the probability that x= 5. Round to five decimal places.

P(5) =

4- If z is a standard normalvariable, find the probability.

P(z > 1.84) (Round your answer to four decimalplaces.)

5- If z is a standard normalvariable, find the probability.

The probability that z lies between negative 2.33 and 1.91.

(Round your answer to four decimalplaces.)

6-Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard deviation of 20.7. Find the probability that a randomly selected adult has an IQ greater than 131.7. The probability that a randomly selected adult from this group has an IQ greater than 131.7 is