During its manufacturing process, fantra fills its 20 fl oz bottles using an automated filling machine. this machine is not perfect and will not always fill each bottle with exactly 20 fl oz of soft drink. the amount of soft drink poured into each bottle follows a normal distribution with mean 20 fl oz and standard deviation 0.17 fl oz. the fantra quality testing department has just carried out a routine check on the average amount of soft drink poured into each bottle. a sample of 25 bottles were randomly selected and the amount of soft drink in each bottle was measured. the mean amount of soft drink in each bottle was calculated to be 19.91 fl oz. the fantra chief executive officer believes that such a low mean is not possible and a mistake must have been made. calculate the probability of obtaining a sample mean below 19.91 fl oz. give your answer as a decimal to 4 decimal places.

The probability of obtaining a sample mean below 19.91 fl oz. is 0.0041

Step-by-step explanation:

Consider the provided information.

The amount of soft drink poured into each bottle follows a normal distribution with mean 20 fl oz and standard deviation 0.17 fl oz.

A Sample of 25 bottles were randomly selected and the amount of soft drink in each bottle was measured.

The mean amount of soft drink in each bottle was calculated to be 19.91 fl oz.

Thus we have mean 20 fl oz σ=0.17 and n=25.

Substitute the respective values.

According to normal distribution table:

The probability of obtaining a sample mean below 19.91 fl oz. is 0.0041

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497