The annual profits that company a and company b earn follow a bivariate normal distribution company a's annual profit has mean 2000 and standard deviation 1000. company b's annual profit has mean 3000 and standard deviation 500 the correlation coefficient between these annual profits is 0.80. calculate the probability that company b's annual profit is less than 3900, given that company a's annual profit is 2300. a) 0.8531 b) 0.9192 c) 0.9641 d) 0.9744 e) 0.9953

351°f

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;

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

answer: 12   they all have at least 28 days

step-by-step explanation: haha