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mihalych1998 [28]
2 years ago
13

At a carnival, a particular game requires the player to spin a wheel. When a child plays, the game operator allows them to conti

nue to spin the wheel until they win a prize. Define X = the number of spins a child takes until they win a prize.
Which, if any, of the following requirements for X to be a binomial random variable is violated in this setting?

a) The number of trials is fixed.
b) Each trial is independent of other trials.
c) There are two possible outcomes for each trial.
d) The probability of "success" is the same for each trial.
e) All requirements are met in this setting.
Mathematics
1 answer:
Bumek [7]2 years ago
4 0

Answer:

(a) and (e) are not valid.

Step-by-step explanation:

a) The number of traials is not fixed. In fact, the random variable counts the total number of trials.

b) This is true, the result of each trial is independent of the others.

c) This is also true. The outcomes are failure and success.

d) This is true as well, all trials are identically distributed.

e) Since (a) is not valid, this cant be true.

You might be interested in
If two or more polygons are congruent, which statement must be true about the polygons? Read all of the choices before deciding.
hodyreva [135]
The best correct answer is option E. If two or more polygons are congruent, then rigid transformations can be used to map one polygon onto the other. <span>Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.</span>
5 0
2 years ago
Read 2 more answers
PLZ HELP 235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people o
Olin [163]

Answer:

number of girls = 90

Number of boys = 125

Number of adults = 20

Step-by-step explanation:

Total people at the summer camp= 235

Let

number of girls=x

Number of boys = x + 35

Number of adults = x - 70

Total people at the summer camp= number of girls + Number of boys + Number of adults

235 = x + (x+35) + (x - 70)

235 = x + x + 35 + x - 70

235 = 3x - 35

Add 35 to both sides

235 + 35 = 3x

270 = 3x

Divide both sides by 3

x= 270/3

= 90

x = 90

number of girls= x = 90

Number of boys = x + 35

= 90 + 35

= 125

Number of adults = x - 70

= 90 - 70

= 20

Total = 90 + 125 + 20

= 235

4 0
2 years ago
Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric. If
Gnom [1K]

Answer:

i think you add both fabric prices then divide with 5.50

7 0
2 years ago
If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height.
Finger [1]
<h2>Hello!</h2>

The answer is:

The slant height is 13.43 m.

l=13.43m

<h2>Why?</h2>

To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:

TotalSurfaceArea=LateralSurfaceArea+BaseArea

LateralSurfaceArea=\pi *r*l

Where,

r, is the radius of the cone.

l, is the slant height of the cone.

We are given the following information:

TotalSurfaceArea=290.6m^{2} \\Diameter=10m\\Radius=\frac{1}{2}d=\frac{1}{2}10m=5m

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

BaseArea=\pi *r^{2} \\\\BaseArea=\pi *5m^{2} =\pi *25m^{2}=79.54m^{2}

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:

LateralSurfaceArea=TotalSurfaceArea-BaseArea

LateralSurfaceArea=290.6m^{2}-79.54m^{2}

LateralSurfaceArea=211.06m^{2}

Now, calculating the slant height, we have:

LateralSurfaceArea=\pi *r*l

l=\frac{LateralSurfaceArea}{\pi*r }

Substituting, we have:

l=\frac{211.06m^{2}}{\pi*5 }=\frac{211.06}{15.71m }

l=\frac{211.06}{15.71m }=13.43m

Hence, we have that the slant height is 13.43 m.

l=13.43m

Have a nice day!

6 0
2 years ago
One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples
JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3-81.2) ± 1.708* (6.11*\sqrt{\frac{1}{15}+\frac{1}{12}  }]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0
2 years ago
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