The events are independent...because after the first pick, the card was replaced...that means the second pick has the same sample space. In other words, the first pick is not gonna affect the 2nd pick
8 football, 2 basketball...total of 10
P(1st pick is football) = 8/10 which reduces to 4/5
replace
P(2nd pick is basketball) = 2/10 which reduces to 1/5
P (both) = 4/5 * 1/5 = 4/25 = 0.16 <==
Total angles on a straight line
(9x + 8) + 37 = 180
9x + 45 = 180
9x = 180 - 45
9x = 135
Divide through by 9
x = 15
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Answer:


Step-by-step explanation:
From the question we are told that:
Sample size
Probability of a defective widget 
Generally the equation for binomial trial is mathematically given by



Since X is binomial random variable with functions of n and p,The equation of mean \=x

Where



Generally the equation for variance \sigma is mathematically given by


