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ahrayia [7]
3 years ago
15

The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation o

f time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less
Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

required probability is 0.8413

Step-by-step explanation: Given mean \mu =15 minutes, standard deviation \sigma =4 seconds, we need to find P\left ( X\leq 19 \right ). Using z score

z=\frac{X-\mu }{\sigma }\\=\frac{19-15}{4}\\=1

So,

P\left ( X\leq 19 \right )\\=P\left ( Z\leq 1 \right )\\=0.8413

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