how many students are good in mathematics only and how many students are not good in any of the three courses

A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine ma

Bingel [31]

Answer:

73.90%

Step-by-step explanation:

Let Event D=Defective, D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

$P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3$

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.

i.e. $P(N|D')$

$P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91$

Using Baye's Law of conditional Probability

$P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390$

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

5 0

3 years ago

Compute 4.659×104−2.14×104. Round the answer appropriately.

iogann1982 [59]

Answer:

261.98 is the value of the given expression.

Step-by-step explanation:

We have to find the value of the following expression:

$4.659\times 104 - 2.14\times 104$

Using the associative property, we can write and solve the given expression as:

$(4.659 - 2.14)\times 104\\=2.519\times 104\\=261.976$

Rounding off the answer, we get,

$261.976\approx 261.98$

Thus, 261.98 is the value of the given expression.

3 0

3 years ago

a circular pizza pan whose diameter is 20 inches costs $13.32. Assuming the cost depends upon the size(area) of the pan, what wo

bezimeni [28]

Answer:

The answer would be 6.32

Step-by-step explanation:

6 0

3 years ago

ms. Luca designs a water ride for a theme park . coordinate gird shows her plan for the path of the boats through the ride

Marina86 [1]

Start (90,100). End (10,0). Waterfall (70,50). The X point is first Y is second. Hope this helps :)

8 0

3 years ago

According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City

Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, $H_0$ : $\mu$ $\leq$ 3 {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, $H_1$ : $\mu$ > 3 {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time = 2.5 hours per week

$s$ = sample standard deviation = 0.09 hours

n = sample size = 19

So, <u>test statistics</u> = $\frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } }$ ~ $t_1_8$

= -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0

4 years ago