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navik [9.2K]
3 years ago
14

PLS HELP BRAINLIET WILL BE GIVEN :D

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

b)

A - wins at both games

P(A)=0.3\cdot0.4=0.12

c)

A - wins at just one of the games

P(A)=0.3\cdot0.6+0.7\cdot0.4=0.18+0.28=0.46

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Answer:

c) 50

Step-by-step explanation:

We have been given that the mean life of a particular brand of light bulb is 1200 hours. About 95% of this brand of bulbs will last between 1100 and 1300 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}, where,

z=\text{z-score},

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We know that 95% of data points lies within two standard deviation of mean, so 1100 will correspond to a z-score of -2 and 1300 will correspond to a z-score of 2.

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We can use sample score 1300 and get same answer as:

2=\frac{1300-1200}{\sigma}

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Therefore, the standard deviation of the light bulbs’ life is 50 years.

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