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The probability that a randomly selected PC costs more than 1200 will be 0.006. The least expensive 10% of personal computers cost less than what amount will be 820.8.
What is a normal distribution?
The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The average price of a personal computer (PC) is $949.
If the computer prices are approximately normally distributed and standard deviation is $100.
Then the probability that a randomly selected PC costs more than 1200 will be
z = (1200 – 949) / 100
z = 2.51
Then the probability will be
P(x > 1200) = P(z > 1200)
P(x > 1200) = 1 – P(z < 1200)
P(x > 1200) = 1 – 0.99396
P(x > 1200) = 0.0060366
The least expensive 10% of personal computers cost less than what amount will be
z-value for 10% will be -1.282.
– 1.282 = (x – 949) / 100
– 128.2 = x – 949
x = 820.8
More about the normal distribution link is given below.
https://brainly.com/question/12421652
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