Rachel rents three DVDs from Watch Flicks and two DVDs from Bluechest. The probability that a DVD is faulty is 4% for Watchflix and 5% for Bluechest. All DVD rentals being faulty or otherwise are independent of each other. Calculate the probability that exactly two DVDs rented by Rachel are faulty.

Pr( Exactly 2 are faulty) = 0.017

Step-by-step explanation:

Probability that a Watchflix DVD is faulty = 4% = 0.04

Probability that a Bluechest DVD is faulty = 5% 0.05

Probability(Exactly 2 DVD are faulty) = Pr(the two faulty DVDs are from watchflix) + Pr(the two faulty DVDs are from Bluechest) + Pr(1 is faulty from Watchflix and the other from Bluechest)

Binomial distribution is given by:

Pr(the two faulty DVDs are from watchflix) =

= 0.0042

Pr(the two faulty DVDs are from Bluechest) = = 0.0022

Pr(1 is from Bluechest, 1 is from Watchflix) = = 0.01051

Pr( Exactly 2 are faulty) = 0.001386 + 0.0022 + 0.01051

Pr( Exactly 2 are faulty) = 0.0169 = 0.017

312312

step-by-step explanation:

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!