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Alenkinab [10]
3 years ago
7

Question no.4 pls‍♀️

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

x(3*6)

Step-by-step explanation:

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Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
2 years ago
Which question is a statical question
kolbaska11 [484]

Answer:

B is a statistical question

Step-by-step explanation:

A and C ask for qualitative data or categorical data

B asks for quantitative data or numerical data

We obviously use numerical data for statistical work, so B is the answer

5 0
3 years ago
I need help. (image below)
vovangra [49]

Answer:

∠5 = 35°

Step-by-step explanation:

∠5 = ∠2  because they are alternate interior congruent angles

∠5 = 35°

7 0
2 years ago
Mrs.Gill won certain prize money in a cooking competition.She spent half of the prize money on the clothes,one third on grocery
erma4kov [3.2K]

Answer

Find out the how much prize money did she win.

To proof

Let us assume that the total amount prize money did she win be u.

As given

Mrs.Gill won certain prize money in a cooking competition.

She spent half of the prize money on the clothes

= u -\frac{u}{2}\\ = \frac{u}{2}

one third on grocery

= \frac{u}{2} -\frac{u}{3}

(L.C.M of (2,3) =6 )

= \frac{3u -2u}{6} \\=\frac{u}{6}

gave away the remaining Rs.2000 to an orphanage

2000 = \frac{u}{6}

u =Rs 12000

Rs 12000  prize money did she win.

Hence proved

6 0
3 years ago
Find the area of an equilateral triangle (regular 3-gon) with the given measurement: 6-inch radius. A = sq. in.
levacccp [35]

The correct answer is 27√​3

4 0
3 years ago
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