A local store knows that the mean purchase per customer is $57.84. Suppose the purchases per customer are normally distributed with a standard deviation of $4.63. What is the probability that in a sample of 26 customers the mean purchase per customer is between $56 and $58?
a) 0.1774
b) 0.5502
c) 0.0212
d) 0.5714
Consider,
X=purchase per customer
=P[-2.03<Z<0.18]
=0.5714-0.0212...............................by using normal probability table.
=0.5502
Option b) is correct.
A local store knows that the mean purchase per customer is $57.84. Suppose the purchases per...
A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9. What are the two dollar amounts, equidistant from the mean of $30, such that 98% of all customer purchases are between these values? Place your answers in the blanks provided. Do not include a dollar sign. For example, 14.25 would be a legitimate entry
A grocery store's receipts show that Sunday customer purchases have a skewed distribution with a mean of $26 and a standard deviation of $14. Suppose the store had 312 customers this Sunday. a) Estimate the probability that the store's revenues were at least $8 comma 400. b) If, on a typical Sunday, the store serves 312 customers, how much does the store take in on the worst 1% of such days?
Customers enter a store according to a Poisson process of rate λ = 5 per hour. Independently, each customer buys something with probability p = 0.8 and leaves without making a purchase with probability q = 1 − p = 0.2. Each customer buying something will spend an amount of money uniformly distributed between $1 and $101 (independently of the purchases of the other customers). What are the mean and the standard deviation of the total amount of money spent...
4. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.4 years, and standard deviation of 3.2 years. If you randomly purchase 21 items, what is the probability that their mean life will be longer than 15 years? (Give answer to 4 decimal places.) 5. A particular fruit's weights are normally distributed, with a mean of 704 grams and a standard deviation of 12 grams. If you pick 12 fruit at random, what is...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13 years, and standard deviation of 2.5 years. If you randomly purchase one item, what is the probability it will last longer than 20 years? A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and standard deviation of 1.9 years. The 5% of items with the shortest lifespan will last less than how many years?
1) a) A manufacturer knows that their items have a normally distributed length, with a mean of 13.4 inches, and standard deviation of 2 inches. If one item is chosen at random, what is the probability that it is less than 7.5 inches long? b) A manufacturer knows that their items lifespans are normally distributed with mean = 14.2 and standard deviation = 3.9. What proportion of the items' lifespans will be longer than 25 years? c) A particular fruit's...
A manufacturer knows that their items have a normally distributed length, with a mean of 18 inches, and standard deviation of 5.7 inches. If one item is chosen at random, what is the probability that it is less than 13 inches long? A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7 years, and standard deviation of 0.7 years. If you randomly purchase one item, what is the probability it will last longer than...
Question 3: a.) A manufacturer knows that their items have a normally distributed length, with a mean of 19.6 inches, and standard deviation of 2.4 inches. If 4 items are chosen at random, what is the probability that their mean length is less than 17.5 inches? b.) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.5 years, and standard deviation of 0.7 years. If you randomly purchase 14 items, what is the probability...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8 years, and standard deviation of 2.5 years. If you randomly purchase 15 items, what is the probability that their mean life will be longer than 7 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.9 years, and standard deviation of 2.4 years. If you randomly purchase 9 items, what is the probability that their mean life will be longer than 12 years?