Acompany is preparing to launch a new web site to sell its products. from past experience, they know that purchases at the site will occur as a poisson process with on average 30 purchases every 10 minutes. a) what is the expected time in minutes before the first purchase after the site opens? give your answer to four decimal places. ans: 0. (correct)b) what is the probability that more than 0.14 minutes pass before the first purchase? give your answer to four decimal places. ans: 0.6570 (correct)c) what is the expected time in minutes until the fifth purchase? give your answer to four decimal places. ans: 1.6667 (correct)d) what is the probability that the eighth purchase will occur between 1.33 minutes and 2 minutes after the site opens? give your answer to four decimal places.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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;

-9

step-by-step explanation: