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Normal Distribution · Question 64 of 68

Question 64

HardOriginal question

The life of a bulb is normal with mean 800 hours and standard deviation 40 hours. What is the probability that a bulb lasts more than 880 hours? (Take P(0<Z<2)=0.4772P(0 < Z < 2) = 0.4772.)

Options for question 64

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. z=880−80040=2z = \frac{880 - 800}{40} = 2.

  2. P(Z>2)=0.5−0.4772=0.0228P(Z > 2) = 0.5 - 0.4772 = 0.0228.

Worth noting

0.4772 is the chance of lasting between 800 and 880 hours.

Concept
A tail probability in context
Typical time
120 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.