Please help on number 26

Mathematics

1 answer:

polet [3.4K]3 years ago

5 0

38 percent. 24 divided by 64 classmates is 0.375 which is also 37.5 percent. You can either round up which would make it 38 or keep it at 37.

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A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will

Scorpion4ik [409]

Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that: $\frac{10-12}{0.8} = -2.5; Probability(-2.5)=.0.00621; Probability = 0.621%$
So the answer is the first option <span>0.621%</span>

5 0

3 years ago

Read 2 more answers

What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean

Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n = 90

Standard error =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} = 10.54$

Formula:

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

P(test score within 10 points)

$P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%$