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2.4.6 Probabilities using the normal distribution (A-level only)

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Question 66

The tensile strength, SSS Newtons (N), of a particular type of fiber-optic cable is modeled by a normal distribution with a mean of 120 N and a standard deviation of 15 N.

a.

Determine the probability that a randomly selected cable has a tensile strength less than 147 N.

[2]
b.

Find the value of kkk such that P(S<k)=0.1056P(S < k) = 0.1056P(S<k)=0.1056.

[3]
c.

Find the value of mmm such that P(S>m)=0.1056P(S > m) = 0.1056P(S>m)=0.1056.

[2]
d.

Calculate P(k<S<m)P(k < S < m)P(k<S<m).

[2]

2.4.6 Probabilities using the normal distribution (A-level only) Questions

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