• Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 6.9 years and a standard deviation of 2.5 years. If the company wants to provide a warranty so that only 1.9% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty? warranty = years Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted
• Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 9 years and a standard deviation of 2 years. Find the probability that a randomly selected DVD player will have a replacement time less than 4.8 years? P(X < 4.8 years) = Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
• The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = c) Who is relatively taller?
• The 6 foot 3 inch American man
• The 5 foot 11 inch American woman