A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will last less than 10 years? (2 points) 0.621%
6.21%
93.79%
99.379%
2 answers:
Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that:
So the answer is the first option <span>
0.621% </span>
Standard Deviation = A = 0.8
Mean = 12 years
We will use normal distribution to calculate probability.
Let a Random variable Z , has A = 0.8, and M= 12 years.
Probability that a car will be able to last < 10 years= P(Z<10)
=
Pr (Z < -5/2) = 0.00621[ By using standard table]
= 0.00621 ×100
=0.621%→ Option A .
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