The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. What is the probability that a randomly selected bulb would last longer than 1150 hours? 0.9987 0.0013 0.5013 0.5513 0.4987

Option B) 0.0013

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1000 hours

Standard Deviation, σ = 50 hours

We are given that the distribution of life of bulb is a bell shaped distribution that is a normal distribution.

Formula:

P(bulb would last longer than 1150 hours)

Calculation the value from standard normal z table, we have,  

0.0013 is the probability  that a randomly selected bulb would last longer than 1150 hours.

Thus, the correct answer is

Option B) 0.0013

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

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step-by-step explanation: