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Normal Distribution · Question 55 of 68

Question 55

MediumOriginal question

Weights of a group are normal with mean 70 kg and standard deviation 8 kg. What percentage weigh less than 62 kg? (Take P(0<Z<1)=0.3413P(0 < Z < 1) = 0.3413.)

Options for question 55

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. z=62−708=−1z = \frac{62 - 70}{8} = -1.

  2. P(Z<−1)=0.5−0.3413=0.1587P(Z < -1) = 0.5 - 0.3413 = 0.1587, that is 15.87%.

Worth noting

84.13% is the share above 62 kg.

Concept
The share below a value
Typical time
90 s
Your time
—
The rule this testsUsing the normal distribution
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.