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A supplier to a car manufacturer produces a certain valve and seal used in their cars. The sizes of these Seals and valves are closely monitored to ensure the parts actually work. Here are summary statistics on the diameters for these valves and seals in millimeters) Mean Standard deviation Valve 50 Both distributions are approximately normal. A seal properly fits a valve if the seal's diameter is larger than the valve's diameter but the difference can't be more than 2 mm. Suppose we choose a valve and seal at random and calculate the difference between their diameters. We can assume that their diameters are Find the probability that the seal properly fits the valve.​

Sagot :

Answer: 0.95

Step-by-step explanation:

Khan

The required probability is,

[tex]P(z>2)=0.02275[/tex]

Computation:

The probability seal properly fits the valve is,

[tex]P(x_s-x_v>2)[/tex]

Solving the above we get,

[tex]P(\frac{x_s-x_v-(\mu _s-\mu _v)}{s_D(x_s-x_v)}>\frac{2-(51-50)}{\sqrt{(0.3)^2+(0.4)^2}})\\=P(Z>2)\\=0.02275[/tex]

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