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IRINA_888 [86]
3 years ago
11

A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let

the random variable R represent the number of people from the sample who answer yes. The variance of random variable R is 6. Assume the responses are independent of each other. If the proportion of people from the population who read a novel in the past year is 0.40, which of the following is the best interpretation of random variable R ?a. binomial variable with 15 independent trialsb. A binomial variable with 25 independent trialsc. A variable that is not binomial with 25 independent trialsd. A binomial variable with 40 independent trialse. A variable that is not binomial with 40 independent trials
Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

b. A binomial variable with 25 independent trials

Step-by-step explanation:

The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

we are given that variance of R=6 and p=probability of success=0.4.

We know that variance of binomial distribution is

Variance=npq

where q=1-p=1-0.4=0.6.

By putting the values in variance formula, we can get the value of n.

6=n*0.4*0.6

6=0.24*n

n=6/0.24

n=25

Hence, random variable R is a binomial variable with 25 independent trials.

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Eggs with defects in terms of the number of eggs they inspected as shown
mamaluj [8]

Answer:

23

Step-by-step explanation:

You need to draw a line of best fit, then extend the x-axis, but from inspection I think it is 23.

(19 is too low, 36 is too high)

6 0
2 years ago
Which principle prevents a government from becoming too powerful?
tino4ka555 [31]

Comment: I think you got this in the wrong section but I’ll still answer it anyways.

Actual Answer: system of checks and balances

Step-by-step explanation: A system of checks and balances stops one branch of government from becoming too powerful.

Additional Note: I hope that this helps you and have a wonderful day!

7 0
3 years ago
Transitive property: if ____=-11^3 and -11i^3=11i then _____=11i
Semenov [28]

Answer:

if -11i^3 =-11^3 and -11i^3=11i then -11^3=11i

if I'm wrong pls correct me but I'm pretty sure this is

5 0
2 years ago
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
vfiekz [6]

The measure of the Central Angle indicated is; 45°

<h3>How to find the central angle of a circle?</h3>

The central angle will be the angle subtended at the center by arc FE and arc CB.

Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;

Central Angle = 180° - 135° = 45°

Angle subtended by Arc CD at the center is;

θ = 180 - (81 + 45)

θ = 54°

Read more about Central Angle at; brainly.com/question/17074363

#SPJ1

8 0
2 years ago
PLEASE HELP! ITS DUE SOON!!!! I DONT GET THIS!!
o-na [289]

Answer:

d. 50°

Step-by-step explanation:

Since you know one angle and its opposite side, use the law of sines.

sin 36°/11.9 = sin D/15.6

sin D = 15.6 × sin 36° / 11.9

sin D = =0.7705

D = sin^-1 0.7705

D = 50.4°

8 0
2 years ago
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