BearCo produces alutin (and alloy of aluminium and tin) bearings for truck engines. Prior to shaping, ingots

1 answer:

4 0

Let x be a random variable representing the mean thickness of alutin.

a.) P(2.97 < x < 3.08) = P((2.97 - 3.05)/0.025 < z < (3.08 - 3.05)/0.025) = P(-3.2 < z < 1.2) = P(z < 1.2) - P(z < -3.2) = P(z < 1.2) - [1 - P(z < 3.2)] = P(z < 1.2) + P(z < 3.2) - 1 = 0.88493 + 0.99931 - 1 = 0.88424

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The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$