Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986
Step-by-step explanation: the probability mass function of a possion probability distribution is given as
P(x=r) = (e^-λ)×(λ^r) /r!
Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4
a) P(x= at least one) = P(x≥1)
P(x≥1) = 1 - P(x<1)
But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}
Hence, P(x≥1) = 1 - P(x=0)
P(x=0) = e^-2.4 * 2.4^0/(0!)
P(x=0) = 0.0907×1/1
P(x=0) = 0.0907
b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.
Hence λ = 12.
P(x= at least 10) =P(x≥10) = 1 - P(x≤9)
P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.
From the table P(x≤9) = 0.2014.
P(x≥10) = 1 - 0.20140
P(x≥10) = 0.7986
Answer:
$92.25
Step-by-step explanation:
If Diego spent $20.50 and Sandy spent 4.5x as much as Diego, that means that Sandy spent 20.5x4.5, which equals 92.25. Sandy spent $92.25
Answer:
£36
Step-by-step explanation:
3kg = 54
÷ 3
1kg = 18
18 × 2 = 36
hope this helps...
To solve this question make an equation
450 x 0.15 = X
0.15 = the percentage taken out of the paycheck
67.5 = Social Security Taxes
450 - 67.5
= $382.5
Or the easier way if you want it straight away
450 x 0.85 = $382.5
0.85 = percentage taken home
