When treated with an antibiotic, 94% of all the dolphins are cured of an ear infection. if 8 dolphins are treated, find the probability that exactly 4 are cured.

0.071%

Step-by-step explanation:

The probability of success is constant, and each dolphin is independent, so this is an example of a binomial distribution.

P = nCr p^r q^(n-r)

where P is the probability of r number of successes out of n number of trials, p is the probability of success, and q is probability of failure (1-p).

Given: n = 8, r = 4, p = 0.94, q = 0.06:

P = ₈C₄ (0.94)⁴ (0.06)⁸⁻⁴

P = 70 (0.94)⁴ (0.06)⁴

P ≈ 0.071%

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;

a

step-by-step explanation:

strong negative correlation