According to the national institute of allergy and infectious diseases, approximately 7% of american children 4 years of age or under have a food allergy. a day care has capacity for 8 children in that age range. assume that the children attending the daycare are independent. let the random variable x
be the number of children in this day care who have a food allergy. the probability p(x < 2) is

89.65%

Step-by-step explanation:

This can be modeled with a binomial distribution with probability of “success” (having a food allergy) equals 7% (0.07) and the probability of “failure” (not having food allergy) equals 0.93 in 8 “trials” (8 children).

P(X < 2) = P(X = 0) + P(X = 1) =

we can compute this either by hand or computer assisted and we get our probability equals

0.8965 0r 89.65%

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

step-by-step explanation: