7. Find the value of:
a) The number when 40% of the number is 10

whats pop

Step-by-step explanation:

pop smoke

25

Step-by-step explanation:

(40/100)*a=10

40a=1000

a=1000/40

a=25

This question is incomplete, the complete question is;

An insurance company determines that the number of claims received in a week follows a Poisson distribution. The probability that the insurance company receives at most one claim in a week is 5/13 times the probability that the insurance company receives at most two claims in a week.

Calculate the probability that the insurance company receives four claims in a week.

the probability that the insurance company receives four claims in a week is 0.1954

Step-by-step explanation:

P(at most one claim) = P(X ≤ 1)

and

P(at most two claims) = P(X ≤ 2)

for P(X ≤ 1) = (5/13) × P(X ≤ 2)  

P(X ≤ 1 ) = (5/13) × (P(X ≤ 1) + P(X = 2))

(8/13) × P(X ≤ 1) = (5/13) × P(X = 2)

8 × ( e^(-λ) λ⁰ / 0! + e^(-λ)λ₁/1! ) = 5 × (e^(-λ)λ²/2!

16( 1 + λ ) = 5 × λ²

5 × λ²- 16 × λ - 16 = 0

λ = 4

Therefore the probability that the insurance company receives four claims in a week is P(X = 4) =e⁻⁴4⁴/4! = 0.1954