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Answer:
a) 
b) P(x>2) = 0.566
c) P(2<x<5) = 0.334
Step-by-step explanation:
Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday
Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24
n = 10
By using Poisson distribution
mean number of make purchases during a sales tax holiday
λ = np = 10 X 0.24 = 2.4
a)
The probability of getting exactly '2'
The probability 


b) The probability of getting more than '2'


= 0.090 + 0.2177+0.261 = 0.566
P(x>2) = 0.566
c) The probability of getting between two and five
P( 2<x<5) = P(x=3)+p(x=4) =
P(2<x<5) = 0.2090 + 0.125 = 0.334
Answer:
The size of Harry's loan is $9000.
Step-by-step explanation:
D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.
Lets put t = 0, that shows no payments have been made.
This will get the amount of loan, before any payments.

So,
Hence, the size of Harry's loan is $9000.
Answer:
5/12
Step-by-step explanation:
1/4 of the cakes is 60 divided by 4 which is 15. That goes to Helen
20 go to Sue
so far, he has given away 35 cakes out of the 60
he is left with 25 cakes
that is 25/60 which can be simplified to 5/12