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erma4kov [3.2K]
2 years ago
11

I need help with all of them.. Please help me

Mathematics
1 answer:
jarptica [38.1K]2 years ago
5 0

Answer:

1. 8

2. 0.49

3. 7

4. 0.52

5. 0.43

6. 28

Step-by-step explanation:

I did the math you are welcome.

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In Illinois, 10 % of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been ar
docker41 [41]

Answer:

a) P(X=5) = 0.065

b) P(X≥1) = 0.928

c) The mean number of repeat offenders is 3.

d) The standard deviation of the number of repeat offenders is 2.

Step-by-step explanation:

n = 25

p = 10% = 0.10

q = 1-p

  = 1-0.1

q=0.9

a) Find P(X =5)

Using the binomial distribution formula:

P(X = x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

           n = total number of trials

           x = no. of successful trials

P(X=5) = ²⁵C₅ (0.1)⁵ (0.9)²⁵⁻⁵

           = 0.0645 ≅ 0.065

P(X=5) = 0.065

b) We need to find the probability that at least one person is a repeat offender which means at most there can be 25 repeat offenders hence, we need to compute the probability for all values ranging from 1 to 25. The easy way to solve this problem is to find out the probability of less than one repeat offender and then subtract the value from the total probability (i.e. 1).

   P(X≥1) = 1 - P(X<1)

              = 1 - P(X =0)

              = 1 - ²⁵C₀ (0.1)⁰ (0.9)²⁵⁻⁰

               = 1 - 0.072

   P(X≥1) = 0.928

c) The mean of the binomial distribution is:

         μ = np

So, the mean number of repeat offenders can be computed as:

μ = (25)(0.10)

μ = 2.5 ≅ 3

The mean number of repeat offenders is 3.

d) The standard deviation of the binomial distribution is:

   σ = √npq

So, the standard deviation of the number of repeat offenders can be computed as:

σ = √(25)(0.1)(0.9)

   = √2.25

σ = 1.5 ≅ 2

The standard deviation of the number of repeat offenders is 2.

7 0
2 years ago
Hi:) anyone able to explain how to find the value of a? Thank you:)
11111nata11111 [884]

Answer:

Step-by-step explanation:

The vaulu of A oh! I know that the vaulu of A is Z! Hope this helps! Please give me brailyest!?

8 0
3 years ago
Read 2 more answers
What is the slope of the line through (-1,8) and (3,-4)?
laila [671]

Hey there!!

How do we find slopes ?

Slope = \frac{y2-y1}{x2-x1}

We are given with two co-ordinates :

(-1,8) and (3,-4)  

Hence, the slope is :

\frac{-4-8}{3+1}

... \frac{-12}{4} = -3

The slope is -3.

Hope my answer helps!

4 0
2 years ago
About 150,000 people live in a circular region with a population density of about
morpeh [17]

Area of a circle = pi x r^2

Area of circle = 150,000/ 1578 = 95.06 square miles

95.06 = 3.14 x r ^2

Divide both sides by 3.14

R^2 = 30.27

Find the square root:

R = sqrt(30.27)

R = 5.5

The radius is c) 5.5 miles

8 0
3 years ago
What is his average speed for end the entire trip 280 miles<br> ?
-BARSIC- [3]

Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

7 0
2 years ago
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