1.Assume the random variable X is normally distributed with mean =50 and standard deviation =7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(35

Which of the following normal curves corresponds to P(35

2.incorrect,

7.2.31-TQuestion Help

Assume that the random variable X is normallydistributed, with mean =45 and standard deviation =14. Compute the probability P(56

Draw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below.

3.The number of chocolate chips in an18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips.

(a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolatechips, inclusive?

(b) What is the probability that a randomly selected bag contains fewer than 1125 chocolatechips?

(c) What proportion of bags contains more than 1175 chocolatechips?

(d) What is the percentile rank of a bag that contains 1450 chocolatechips?

(a) The probability that a randomly selected bag contains between 1100 and 1400 chocolatechips, inclusive, is

nothing

.

(Round to four decimal places asneeded.)

4.The lengths of a particularanimal's pregnancies are approximately normallydistributed, with mean =278 days and standard deviation =20 days.

(a) What proportion of pregnancies lasts more than 293 days?

(b) What proportion of pregnancies lasts between 253 and 283 days?

(c) What is the probability that a randomly selected pregnancy lasts no more than 238 days?

(d) A"very preterm" baby is one whose gestation period is less than 233 days. Are very preterm babiesunusual?

(a) The proportion of pregnancies that last more than 293 days is

nothing

.

(Round to four decimal places asneeded.)

The number of chocolate chips in an18-ounce bag of ChipsAhoy! chocolate chip cookies is approximately normallydistributed, with a mean of 1262 chips and a standard deviation of 118 chips, according to a study by cadets of the U.S. Air Force Academy.

(a) Determine the 29th percentile for the number of chocolate chips in an18-ounce bag of ChipsAhoy! cookies.

(b) Determine the number of chocolate chips in a bag of ChipsAhoy! that make up the middle 98% of bags.

(c) What is the interquartile range of the number of chips in ChipsAhoy! cookies?

(a) The 29th percentile for the number of chocolate chips in an18-ounce bag of ChipsAhoy! cookies is

nothing

chocolate chips.

(Round to the nearest whole number asneeded.)