Between 11 p. m. and midnight on Thursday night, Mystery Pizza gets an average of 5.9 telephone orders per hour. (a) Find the probability that at least 27 minutes will elapse before the next telephone order. (Round intermediate values and your final answer to 4 decimal places.) Probability.
(b) Find the probability that less than 16 minutes will elapse. (Round intermediate values and your final answer to 4 decimal places.) Probability.
(c) Find the probability that between 16 and 27 minutes will elapse. (Round intermediate values and your final answer to 4 decimal places.) Probability.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

tip $2.90

total $17.40