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How can I use R to solve this question? Chris owns a laser pointer that is...

How can I use R to solve this question?

Chris owns a laser pointer that is powered by two AAAA batteries. A pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes. Chris decides to take advantage of a sale and buys 20 2-packs of AAAA batteries. What is the probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries?

math   Statistics-And-Probability   
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Answer #1

Ans:

sampling distribution of total usage hrs:

mean=20*5=100

standard deviation=sqrt(20)*0.5=2.236

z=(105-100)/2.236

z=2.24

P(z>=2.24)=0.0125

or use pnorm function of R

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