Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successes in a sequence of n trials, each of which yields success with probability p. Here we can let "success" be defined as "finding a defective syringe." The batch contains 5% defective syringes, so there is a 5% chance that any given syringe will be found to be defective. Therefore, p = . A random sample of nine syringes are checked for quality, so n = .

0.05, 9

Step-by-step explanation:

The probability of success, p = chances of finding a defective syringe = 5%

Hence, probability of success p = 5 /100 = 0.05

The sample size, n = 9, (Given kn yhasrina

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

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;