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kow [346]
3 years ago
9

40% of lightbulb produced by shining beauty company have suboptimal performance. 5 bulbs are chosen for test. find the probabili

ty that 2 bulbs or less have suboptimal perfor-mance. (b) 40% of lightbulb produced by shining beauty company have suboptimal performance. 500 bulbs are chosen for test. compute approximately the probability that 210 bulbs or less have suboptimal performance. (c) 0.4% of lightbulb produced by light company have suboptimal performance. 500 bulbs are chosen for test. compute approximately the probability that 2 bulbs or less have subopti-mal performance

Mathematics
1 answer:
omeli [17]3 years ago
4 0
(a) about 68.3%

(b) about 83.1%

(c) about 67.7%

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What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil
pantera1 [17]

We have given the table of number of male and female contestants who did and did not win prize

The probability that a randomly selected contestant won prize given that contestant was female is

P(contestant won prize / Contestant was female)

Here we will use conditional probability formula

P(A/B) = \frac{P( A and B)}{P(B)}

Let Event A = selected contestant won prize and

event B = selected contestant is famale

Then numerator entity will

P(A and B) = P(Contestant won prize and Contestant is female)

= Number of female contestant who won prize / Total number of contestant

= 3 /(4+9+3+10)

= 3 / 26

P(A and B) = 0.1153

P(B) = P(contestant is female )

= Number of female contestant / Total number of contestants

= (3+10) / 26

P(B) = 0.5

Now P(A / B) = \frac{P( A and B)}{P(B)}

= 0.1153 / 0.5

P(A / B) = 0.2306

The probability that randomly selected contestant won prize given that contestant is female is 0.2306

Converting probability into percentage 23.06%

The percentage that randomly selected contestant won prize given that contestant is female is 23%

3 0
3 years ago
Help meeeeeeeeeeeeeee pls
WITCHER [35]

Answer:

Area = 15.36 ft

Step-by-step explanation:

First find the area of the dotted line triangle using the formula: base x height x 1/2, which would be 1.2ft x 12.8 x 1/2 = 7.68ft.

Next, add another triangle at the top, mirroring the shown triangle, of the parallelogram.

Then, find the area of the shape as though it were a rectangle. (base x height) - 2.4 x 12.8 = 30.72.

Next, multiply the area of the invisible triangle by 2, 7.68 x 2 = 15.36ft

and Finally, subtract the area of the rectangle shape of the the sum of the two invisible triangles, 30.72 - 15.36 = 15.36ft

The area of the parallelogram is 15.36 ft.

5 0
2 years ago
Give the proportion a/b = c/d<br> Solve for c
dybincka [34]

Answer:

the answer is c = (ad)/b

Step-by-step explanation:

See the picture

5 0
3 years ago
Are the two triangles shown below similar? yes or no. explain ​
IgorLugansk [536]

Answer:

Yes

Step-by-step explanation:

Since the triangles have two congruent angles, the third angle is also congruent.

The sides of one triangle are proportional to the corresponding sides of the other triangle.

8 0
3 years ago
Read 2 more answers
Chelsea deposits $600.00 into a bank account and is earning 8.5%simple interest. She decides to keep the account for 4 years. a)
snow_lady [41]

Answer:

$204 in interest

Step-by-step explanation:

Plug in each variable into the simple interest formula: I = PRT

P = $600

R = 8.5% (0.085)

T = 4 years

3 0
3 years ago
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