A soft drink machine outputs a mean of 2828 ounces per cup. The machine's output is normally distributed with a standard deviation of 22 ounces. What is the probability of filling a cup between 3030 and 3131 ounces? Round your answer to four decimal places.
Solution :
Given that ,
mean = = 28
standard deviation = = 22
P(30 < x < 31) = P[(30 - 28)/ 22) < (x - ) / < (31 - 28) / 22) ]
= P(0.09 < z < 0.14)
= P(z < 0.14) - P(z < 0.09)
= 0.5557 - 0.5359
= 0.0198
Probability = 0.0198
A soft drink machine outputs a mean of 2828 ounces per cup. The machine's output is...
A soft drink machine outputs a mean of 26 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 23 and 30 ounces? Round your answer to four decimal places.
A soft drink machine outputs a mean of 25 ounces per cup. The machine's output is normally distributed with a standard deviation of 2 ounces. What is the probability of filling a cup between 21 and 26 ounces? Round your answer to four decimal places.
A soft drink machine outputs a mean of 23 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filling a cup between 27 and 31 ounces? Round your answer to four decimal places.
A soft drink machine outputs a mean of 2323 ounces per cup. The machine's output is normally distributed with a standard deviation of 33 ounces. What is the probability of filling a cup between 2525 and 2626 ounces? Round your answer to four decimal places. A soft drink machine outputs a mean of 23 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 25...
A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of overfilling a 29 ounce cup? Round your answer to four decimal places.
A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of overfilling a 32 ounce cup? Round your answer to four decimal places.
A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of putting less than 34 ounces in a cup? Round your answer to four decimal places.
A soft drink machine outputs a mean of 28ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of putting less than 30 ounces in a cup? Round your answer to four decimal places.
Question 1 of 15 Step 1 of 1 01:05:25 A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filing a cup between 25 and 31 ounces? Round your answer to four decimal places
A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 25 and 31 ounces? Round your answer to four decimal places.