Assume that x is a binomial random variable with n = 400 and p = 0.30. Use a normal
approximation to find P(x > 110 ).
A) 0.8621 B) 0.8749 C) 0.5438 D) 0.8508
Q. 2The continuity correction factor is the name given to the .5 adjustment necessary when
estimating the binomial with the normal distribution.
A) True B) False
Q. 3A study of college students stated that 25 of all college students have at least one tattoo. In a
random sample of 80 college students, let x be the number of the students that have at least one
tattoo.
Can the normal approximation be used to estimate the binomial distribution in this
problem?
A) Yes B) No
Q. 4Determine if it is appropriate to use the normal distribution to approximate a binomial
distribution when n = 36 and p = 0.5 .
What will be an ideal response?
Q. 5Determine if it is appropriate to use the normal distribution to approximate a binomial
distribution when n = 5 and p = 0.1.
What will be an ideal response?
Q. 6IQ test scores are normally distributed with a mean of 104 and a standard deviation of 17. An
individual's IQ score is found to be 115. Find the z-score corresponding to this value.
A) -1.55 B) 0.65 C) 1.55 D) -0.65
Q. 7A paint machine dispenses dye into paint cans to create different shades of paint. The amount of
dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml)
and a standard deviation of 0.4 ml.
Answer the following questions based on this information.
What proportion of the paint cans contain less than 5.54 ml of the dye?
A) 0.9885 B) 0.5885 C) 0.9115 D) 0.0885
Q. 8The price of a gallon of milk follows a normal distribution with a mean of 3.20 and a standard
deviation of 0.10. What proportion of the milk vendors had prices that were less than 3.075
per gallon?
A) 0.3944 B) 0.8944 C) 0.1056 D) 0.2112
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