Find z so that 82% of the standard normal curve lies to the right of z. Remember

Question

Find z so that 82% of the standard normal curve lies to the right of z. Remember that this means you are looking for the area (which means you need to find the 4 digit number in the area portion of Table 3). Select one: a. 0.8186 b. -0.1814 c. -0.8186 d. -0.92

Question 3 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Sunshine Stereo sells cd players. The cd players life is normally distributed with a mean of 2.3 years and a standard deviation of 0.4 years. What is the probability that a cd player will break down during the guarantee period of 2 years? (Hint: the statement that the cd player breaks during the 2-year guarantee period means the life is less than 2 years, or x<2. Now find the z score). Select one: a. -0.75 b. 0.75 c. -1.33 d. 1.33

Question 4 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Using Table 3, find the area (remember that area = probability) that corresponds to the z score found in problem #3. Select one: a. 0.7734 b. 0.9082 c. 0.2266 d. 0.0918

Question 5 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Magic Video Games, Inc., sells an expensive video computer games package. Because the package is so expensive, the company wants to advertise an impresseive guarantee for the life expectancy of its computer control system. The guarantee policy will refund the full purchase price if the computer fails during the guarantee period. The research department has done tests that show that the mean life for the computer is 30 months, with a standard deviation of 4 months. The computer life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 7% of the Magic Video packages? (Hint: you are looking for lifetimes that fall short of the guarantee period so you are looking for lifetimes less than 7%. Now find the z score for this area, or as close as possible and then translate it back to an x value using your formula or just use the invnorm in your calculator). Select one: a. approximately 20 months b. approximately 22 months c. approximately 24 months d. approximately 26 months

Explanation / Answer

82% of the standard normal curve lies to the right of z

So, Area to the left of z = 1-0.82 = 0.18

From standard normal distribution table, z = -0.92

Question 3

Mean = 2.3 years

standard deviation = 0.4 years

P(X<2) = P(Z< (X-mean)/standard deviation)

Z = (2-2.3)/0.4 = -0.75

Question 4

Area that corresponds to the z score found in question 3 = P(Z<-0.75) = 0.2266

(please post individual questions separately)

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