Answer:
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Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000
Answer:
$8.50 per shirt
Step-by-step explanation:
If the shirt was $3 originally, and they added 150% markup, 100% of 3 is 3.
so a 100% markup of a $3 shirt would be 6 dollars.
But since she marked it up 150%, you have to know 50% of $3.
50% of something is half, so
3 / 2 = 1.5
so ontop of the $3 extra, she adds $1.5, so
3 + 3 + 1.5 = 8.5
Michelle will sell the shirts for $8.50 each
