Answer:
The prevalence of serious defects in this population at the time of birth is 10%.
Step-by-step explanation:
The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.
In this problem, we have that:
There were 1000 newborn infants.
100 infants were born with serious birth defects.
Calculate the prevalence of serious defects in this population at the time of birth.
This is:
The prevalence of serious defects in this population at the time of birth is 10%.
The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>
The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
Read more about expected values at:
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Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
y= 3x+16
Step-by-step explanation:
7 (-12) = -84
it's literally -84