Question

In: Statistics and Probability

The number of pizzas consumed per month by university students is normally distributed with a mean...

The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3.

A. What proportion of students consume more than 12 pizzas per month?

Probability =

B. What is the probability that in a random sample of size 8, a total of more than 72 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 8 students?)

Probability =

Solutions

Expert Solution

Answer---->>

I hope this answer helps you.

In case of any queries please feel free to comment.

Here z values probability calculate from standard normal distribution table.


Related Solutions

The number of pizzas consumed per month by university students is normally distributed with a mean...
The number of pizzas consumed per month by university students is normally distributed with a mean of 8 and a standard deviation of 2. Use Excel to answer the following questions: A. What proportion of students consume more than 11 pizzas per month? Probability = B. What is the probability that in a random sample of size 8, a total of more than 80 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of...
The number of pizzas consumed per month by university students is normally distributed with a mean...
The number of pizzas consumed per month by university students is normally distributed with a mean of 6 and a standard deviation of 5. A. What proportion of students consume more than 8 pizzas per month? Probability = B. What is the probability that in a random sample of size 11, a total of more than 55 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 11 students?) Probability =
The number of pizzas consumed per month by university students is normally distributed with a mean...
The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 4. Use Excel to answer the following questions: A. What proportion of students consume more than 11 pizzas per month? B. What is the probability that in a random sample of size 11, a total of more than 99 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 11 students?)
The number of pizzas consumed per month by university students is normally distributed with a mean...
The number of pizzas consumed per month by university students is normally distributed with a mean of 6 and a standard deviation of 4. A. What proportion of students consume more than 7 pizzas per month? Probability = B. What is the probability that in a random sample of size 8, a total of more than 40 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 8 students?) Probability =
The number of pizzas consumed per month by university students is normally distributed with a mean...
The number of pizzas consumed per month by university students is normally distributed with a mean of 8 and a standard deviation of 4. Use Excel to answer the following questions: A. What proportion of students consume more than 9 pizzas per month? Probability = B. What is the probability that in a random sample of size 9, a total of more than 81 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of...
The heights of female students in a university are approx normally distributed with a mean of...
The heights of female students in a university are approx normally distributed with a mean of 162 cm and a standard dev of 8 cm. Explain your answers. a) Approx 68% of all female students in a university will have heights between ____ cm and ____ cm. b) Heights greater than ____ cm would be considered peculiar.
The weight of male students at a certain university is normally distributed with a mean of...
The weight of male students at a certain university is normally distributed with a mean of 175 pounds with a standard deviation of 7.6 pounds. Find the probabilities. 1. A male student weighs at most 186 pounds. 2. A male students weighs at least 160 pounds. 3. A male student weighs between 165 and 180 pounds. Please show work. Ideally excel commands would be helpful, but anything would be great!
The number of ants per acre in the forest is normally distributed with mean 45,000 and...
The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,278. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected acre in the forest has fewer than 57,834 ants. c. Find the probability that a randomly selected acre has between...
The number of ants per acre in the forest is normally distributed with mean 43,000 and...
The number of ants per acre in the forest is normally distributed with mean 43,000 and standard deviation 12,405. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected acre in the forest has fewer than 55,888 ants. c. Find the probability that a randomly selected acre has between...
5. The number of daily texts sent by Marymount students are normally distributed with a mean...
5. The number of daily texts sent by Marymount students are normally distributed with a mean of 80 texts and a standard deviation of 50 texts. (a) Find the probability that a randomly selected Marymount student sends more than 100 texts each day. (b) Find the probability that 25 randomly selected Marymount students will have a mean number of daily texts sent that is greater than 50 texts. (c) Suppose a parent wants their child in the bottom 25% of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT