The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard...

The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard deviation of 2.7 lb. Find the mean weight of Mr. Smith's ripe watermelons if only 9% weigh less than 12 lb. (Give your answer correct to one decimal place.)

Expert Solution

so, the mean is 15.5 lb (corrected to one decimal place)

Z table is given below

orchestra answered 2 years ago

The weights of ripe watermelons grown at a farm are normally distributed with a mean of...

The weights of ripe watermelons grown at a farm are normally distributed with a mean of 12.2 pounds and a standard deviation of 1.2 pounds. What is the probability that a watermelon weighs more than 13.5 pounds? (round to 3 decimal places) What is the probability that a watermelon weighs less than 12 pounds? (round to 3 decimal places) What is the probability that a watermelon weighs between 11.3 and 12 pounds? (round to 3 decimal places) What is the...

Suppose that the weight of seedless watermelons is normally distributed with mean 7 kg. and standard...

Suppose that the weight of seedless watermelons is normally distributed with mean 7 kg. and standard deviation 1.3 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7.8 kg? d. What is the probability that a randomly selected...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard deviation 1.9 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7.4 kg? d. What is the probability that a randomly selected watermelon will...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.6 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 6.8 kg? d. What is the probability that a randomly...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.3 kg. and standard...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.3 kg. and standard deviation 1.1 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 6.9 kg? d. What is the probability that a randomly...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.5 kg. and standard...

Suppose that the weight of seedless watermelons is normally distributed with mean 6.5 kg. and standard deviation 1.8 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7.7 kg? d. What is the probability that a randomly...

The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and...

The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the mean steer weight is 900lbs. Find the probability that the weight of a randomly selected steer is between 1200 and 1530lbs. Round your answer to four decimal places.

Weights of men are normally distributed with a mean of 189 lb and a standard deviation...

Weights of men are normally distributed with a mean of 189 lb and a standard deviation of 39 lb. If 14 men are randomly selected, find the probability that they have weights with a mean greater than 174 lb.

A particular fruit's weights are normally distributed, with a mean of 515 grams and a standard...

A particular fruit's weights are normally distributed, with a mean of 515 grams and a standard deviation of 28 grams. If you pick 4 fruit at random, what is the probability that their mean weight will be between 470 grams and 557 grams (Give answer to 4 decimal places.)

A particular fruit's weights are normally distributed, with a mean of 683 grams and a standard...

A particular fruit's weights are normally distributed, with a mean of 683 grams and a standard deviation of 36 grams. If you pick 24 fruits at random, then 3% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

Question