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Law Incorporation [45]
3 years ago
9

A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the d

isease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 19 % of the population who take this test have the disease.
If the test administered to an individual is positive, what is the probability that the person actually has the disease?

30. Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.032, the probability that a computer produced by factory B is defective is 0.034, and the probability that a computer produced by factory C is defective is 0.056.
A computer is selected at random and it is found to be defective. What is the probability it came from factory C?

32. What is the probability that a 7-digit phone number contains at least one 7? (Repetition of numbers and lead zero are allowed).
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

The persons who have diseases = 19%

The persons who do not have diseases = 81%

Probability for the test showing positive = Prob of actual disease and shows positive + Prob of no disease but test shows wrong

= 0.7*0.19+0.04*0.81\\=0.133+0.0324\\=0.1654

Prob that the person actually has the disease given that the test administered to an individual is positive= \frac{0.133}{0.1654} \\=0.0804

30) A    B   C   total

    2x  7x   x      10x

P(A) = 0.2, P(B) = 0.7, P(C) = 0.1

Let D be the event that the product is defective

P(D/A) = 0.032, P(D/B) = 0.034 and P(D/C) = 0.056

Required probability =P(C/D)

= \frac{P(D/C) P(C)}{P(D/A) P(a)+P(D/B) P(B)+P(D/C) P(C)}

by using Bayes theorem for conditional probability

= \frac{0.1*0.056}{0.2*0.032+0.7*0.034+0.1*0.056} \\=\frac{0.0056}{0.0064+0.0238+0.0056} \\\\=0.156425

32) 7 digit phone numbers with repitition including 0 will be

= 10^7

Numbers which have atleast one 7 = total number - numbers which do not have a single 7

= 10^7 -9^7

the probability that a 7-digit phone number contains at least one 7

=\frac{10^7-9^7}{10^7}

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A geologist visits 40 volcanoes in Alaska and California.how many volcanoes does the geologist visit in California and how many
solong [7]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

I don't know for sure, but there are a bunch of different options. Here they are:

Step-by-step explanation:

1 + 39

2 + 38

3 + 37

4 + 36  

5 + 35

6 + 34

7 + 33

8 + 32

9 + 31

10 + 30

11 + 29

12 + 28

13 + 27

14 + 26

15 + 25

16 + 24

17 + 23

18 + 22

19 + 21

20 + 20

Those are the options of how many volcanoes that they could have visited. They could have visited 23 volcanoes in Alaska and 17 in California. Who knows?

California only has 20 volcanoes, and Alaska has 40, so your answer will be one of these options. Hope this helps!

5 0
3 years ago
Which answer do I pick .
Jobisdone [24]
I don’t think you pick an answer you just put all of those formulas and solutions into your calculator and that will give you what you need to move onto the next question/ step
5 0
3 years ago
Find tan(B) in the triangle.<br> Choose 1 answer<br> A 15/8<br> B 8/17<br> C 8/15 <br> D 15/17
erastova [34]
Answer: C
Explanation: tan = opposite/adjacent. 8 is the opposite length from angle B and 15 is the adjacent length from angle B. so tan(B) = 8/15
6 0
3 years ago
Read 2 more answers
Which group of three squares will form a right triangle when<br> joined at their vertices?
Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

<em>The assignment should have </em><em>four options</em><em> to choose from, but there is only a picture of two. </em>

Step-by-step explanation:

<em>None of the squares </em><em>shown</em><em> form a right triangle. To determine if sides form a right triangle, you use </em><em>this</em><em> formula:</em>

a²+b²=c²

<em>We are given two options in the picture.</em>

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

<em>So, now we need to apply the formula:</em>

Option A)

║8² + 10² = 18²

  ↓

║64 + 100 = 324

  ↓

║FALSE

Option B)

║6² + 9² = 12²

  ↓

║36 + 81 = 144

  ↓

║FALSE

<em>Both of these options are false.</em><em> But, I decided to look up this assignment to check my answer. It turns out, there are </em><em>4 options</em><em>, and you only had a picture of two. So, what's the answer?</em>

<em />

<em>There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. </em><em>This is the correct answer</em><em>.</em>

<em />

<em>For proof, let's apply the formula:</em>

Option ?)

║8² + 15² = 17²

  ↓

║64 + 225 = 289

  ↓

║TRUE

<em>[Since the option isn't shown, I'll put a '?' so there is no confusion]</em>

8 0
3 years ago
Anyone knows the answer for this question asap
morpeh [17]

Answer:

10.37

Step-by-step explanation:

find the area of the whole rectangle which is 30 then find the area of the circle which is 19.63 then subtract 30-19.63

7 0
3 years ago
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