To solve the equation 12x =

53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

faltersainse [42]

Answer:

a

$P(X = 5) = 0.2423$

b

$P( X \ge 6 )= 0.4516$

c

$P( X < 4 )= 0.12694$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.53

The sample size is n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as

$P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}$

=> $P(X = 5) = 252 * 0.04182 * 0.023$

=> $P(X = 5) = 0.2423$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as

$P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)$

=> $P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}]$

=> $P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082]$

=> $P( X \ge 6 )= 0.4516$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as

$P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)$

=> $P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}]$

=> $P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526$

=> $P( X < 4 )= 0.12694$

5 0

2 years ago

HELP PLEASE.<br> Both questions.

egoroff_w [7]

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle

So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.

Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

I hope that helps!

I am with you if you faced any difficulties!

5 0

3 years ago

Is 5359 divisible by 4

amid [387]

Answer:

1339.75

Step-by-step explanation:

No, you will have remainder.

8 0

3 years ago

Read 2 more answers

It takes a printer 10 hours to print the class schedules for all of the students in a college. A faster printer can do the job i

Naya [18.7K]

Answer:

8 hours

Step-by-step explanation:

pretty sure

6 hours is in half and 10 hours is in half add it up and you get 8?

8 0

3 years ago

Please help this is due tomorrow.<br><br> 1/2 of 20?

Mars2501 [29]

1/2 of 20 is 20/2 which is 10.

All you really need to do here is to divide 20 by 2 to get 10.

6 0

2 years ago

Read 2 more answers

To solve the equation 12x = –72, you ?