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Sati [7]
3 years ago
13

Through the career services​ office, you have arranged preliminary interviews at four companies for summer jobs. Each company wi

ll either ask you to come to their site for a​ follow-up interview or not. Let X be the random variable equal to the total number of​ follow-up interviews that you might have. ​a) List all the possible values of X. ​b) Is the random variable discrete or​ continuous? ​c) Do you think a uniform distribution might be appropriate as a model for this random​ variable? Explain briefly.
Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

a) All the possible values of X are: 0,1,2,3,4

b) Discrete

c) No.

For each job, there are only two possible outcomes. Either you asked for a follow up interview or not. This means that the most appropriate model is the binomial probability distribution.

Step-by-step explanation:

You have four interviews. Each one has two possible outcomes. Either you are asked to come back for a follow up interview or you are not.

Let X be the random variable equal to the total number of​ follow-up interviews that you might have. ​

a) List all the possible values of X.

This is the number of follow-up interviews you can be called.

You can be called to 0,1,2,3 or 4 follow up interviews.

So all the possible values of X are: 0,1,2,3,4.

​b) Is the random variable discrete or​ continuous?

There are no decimal values. For example, you cannot be asked to 3.5 interviews, for example.

So the random variable is discrete.

c) Do you think a uniform distribution might be appropriate as a model for this random​ variable? Explain briefly.

No.

For each job, there are only two possible outcomes. Either you asked for a follow up interview or not. This means that the most appropriate model is the binomial probability distribution.

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A right angle intersects a line at point M.Which statement is true about angles 1 and 2They are congruent.
SOVA2 [1]

Answer:

they are complementary

Step-by-step explanation:

4 0
3 years ago
A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa
diamong [38]

Answer:

p_v= 0.01

Since the significance level is 0.05 we see that pv so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

Solution to the problem

The hypothesis for this case are:

Null hypothesis: \mu_{A}=\mu_{B}=\mu_{C}= \mu_D

Alternative hypothesis: Not all the means are equal \mu_{i}\neq \mu_{j}, i,j=A,B,C,D

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have p=4 groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}  

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

p_v= 0.01

Since the significance level is 0.05 we see that pv so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0
3 years ago
PLZZ HELP ASAP ILL MAKE U BRAINLIEST
user100 [1]
Translation right down c=
4 0
3 years ago
Read 2 more answers
Given 2x+4y=12 what is the x and y int
Setler [38]
Both are 2! 2x2=4 4x2=8 so 8+4=12
3 0
2 years ago
Which of the following in an identity?
sammy [17]
By "which is an identity" they just mean "which trigonometric equation is true?"

What you have to do is take one of these and sort it out to an identity you know is true, or...

*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5    cscx = 5/3
cosx = 4/5   secx = 5/4
tanx = 4/3    cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!

Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.

Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)

Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 +  3/4)².

By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
5 0
2 years ago
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