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Alex Ar [27]
3 years ago
8

Suppose that you arrive at a bus stop randomly, so all arrival times are equally likely. The bus arrives regularly every 30 minu

tes without delay (say, on the hour and on the half hour). What is the expected value of your waiting time? Explain how you got your answer.
Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

E(x) = 15 minutes

Step-by-step explanation:

The random variable X (waiting time)  has a uniform distribution between the interval [0,30], because it is just as likely that you arrive in any time and then your waiting time is minimum 0 minutes and maximum 30 minutes

The expected value  of a random variable uniform is:

E(x) = \frac{a+b}{2}

      Where a and b are the interval's extremes

Thus

E(x) = \frac{0+30}{2}

E(x) = 15 minutes

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a sound wave travels through iron at a rate of 5120m/s. at what rate does the sound wave travels in km/h?
Sladkaya [172]
5120 m/s = 18.432<span> kph 

</span>Conversion base : 1 mps = 3.6 kphConversion base : 1 kph = 0.27777777777778 mps<span>
</span>
3 0
3 years ago
Johnny Mac's sporting Goods bought a baseball glove from Rawlins sporting Goods for $66.00, They want to mark up the glove 70% o
lakkis [162]
The answer should be A, if he marked it up 70% just multiply 66 by 1.7 for your answer. 
5 0
3 years ago
in a program designed to help patients stop smoking 232 patients were given sustained care and 84.9% of them were no longer smok
grandymaker [24]

Answer:

z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869  

p_v =2*P(Z>1.869)=0.0616  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .  

Step-by-step explanation:

1) Data given and notation

n=232 represent the random sample taken

X represent the adults were no longer smoking after one month

\hat p=0.849 estimated proportion of adults were no longer smoking after one month

p_o=0.80 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.8.:  

Null hypothesis:p=0.8  

Alternative hypothesis:p \neq 0.8  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z>1.869)=0.0616  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .  

6 0
3 years ago
The outside edge of a circular saw whose dimensions are measured in inches can be defined by the equation x2 + y2 = 33.0625. A h
Eduardwww [97]

Answer:

In the same place, And 4.0

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help.... and thanks
Archy [21]

Answer:

π

Step-by-step explanation:

The *period* of a function is the length it takes before it repeats. Usually, the period of the sine function is 2π; it takes a full rotation around the unit circle for it to repeat. When we replace the input x with -2x, this does a few things:

- Changes the rotation direction

- Makes the rotation go twice as fast

If we rotate around the unit circle twice as fast, it’ll take us half of 2π, or just π to complete a cycle.

6 0
3 years ago
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