The sum of the digits of a two-digit number is 15. Four times the tens digit plus twice the ones digit is 18. What is the number
1 answer:
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Answer:
i) P(X<33) = 0.9232
ii) P(X>26) = 0.001
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 30
Given that the standard deviation of the Population = 4
Let 'X' be the Normal distribution
<u>Step(ii):-</u>
i)
Given that the random variable X = 33
>0
P(X<33) = P( Z<1.5)
= 1- P(Z>1.5)
= 1 - ( 0.5 - A(1.5))
= 0.5 + 0.4232
P(X<33) = 0.9232
<u>Step(iii) :-</u>
Given that the random variable X = 26
>0
P(X>26) = P( Z>3.5)
= 0.5 - A(3.5)
= 0.5 - 0.4990
= 0.001
P(X>26) = 0.001
Answer: There is a probability of 0.05 that there is neither truck is available.
Step-by-step explanation:
Since we have given that
Probability that the first truck is available = 0.75
Probability that the second truck is available = 0.50
Probability that both trucks are available = 0.30
So, probability that either first truck or second truck is available is given by
We need to find the probability that neither truck is available.
so, P(A∪B)'=1-P(A∪B)
Hence, there is a probability of 0.05 that there is neither truck is available.