Question
In: Statistics and Probability
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2979 and standard deviation 593. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 2979 Correct, 593 Correct) b. Find the probability that the customer consumes less than 2587 calories. c. What proportion of the customers consume over 3353 calories? d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
Solutions
orchestra answered 1 year agoRelated Solutions
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...
The amount of calories consumed by customers at the Chinese
buffet is normally distributed with mean 2932 and standard
deviation 585. One randomly selected customer is observed to see
how many calories X that customer consumes. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that the customer consumes less than 2644
calories.
c. What proportion of the customers consume over 3200
calories?
d. The Piggy...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...
The amount of calories consumed by customers at the Chinese
buffet is normally distributed with mean 2833 and standard
deviation 663. One randomly selected customer is observed to see
how many calories X that customer consumes. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that the customer consumes less than 2436
calories.
c. What proportion of the customers consume over 3123
calories?
d. The Piggy...
The amount of money spent by Superstore customers is normally distributed with mean 150 and a...
The amount of money spent by Superstore
customers is normally distributed with mean 150 and a standard
deviation of 12. Suppose that a sample of 64 customers are
selected. Answer the following questions.
What is the mean of the sampling
distribution?
150
140
170
240
What is the standard error of the sampling
distribution?
1.23
1.50
1.55
1.20
What is the probability that the average spending by the
customers is greater than 154?
0.9962
0.9966
0.0038
0.0048
What is the...
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 =
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...
Assume that the amount of cornflakes in a box is normally distributed with a mean of...
Assume that the amount of cornflakes in a box is normally
distributed with a mean of 16 oz. and a standard deviation of 0.1
oz.
a) Determine the percent of boxes that will contain between
15.83 oz. and 16.32 oz. of cornflakes?
b) Determine the percent of boxes that will contain more than
16.16 oz. of cornflakes.
c) If the manufacturer produces 300,000 boxes, how many of them
will contain less than 15.83 oz. of cornflakes?
d) If the manufacturer...
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