Question 1 1 pts s the fallowing distribution a probability distribution? Check

Question

Question 1 1 pts s the fallowing distribution a probability distribution? Check all answers that apply. 0.10.2 0.50.2 No, because one of the probabilities is geater than one because the sum of the probabilities is different than one. No, because at least one of the probabiiies is less than zera. D | Question 2 1 pts s the fallowing distribution a probability distribution? Check all answers that apply. X 1 2 345 6 PIX) 0.30.201110.30.6 No, because at least one of the probabirics is greater than one No, because the sum of the probabilities is ditforent than one. No, because at least one of the probabilaties is less than zcro DQuestion 3 1 pts s the following distribution a probability distribution? Check all answers that apply 0.2 0.5 0.3 PX) No, because at least one of the probabilikies is grater than one No, because the sum of the probabilitics is different than one. No, because at least one of the probabirics is less than zra. DI Question 4 1 pts s the following distribution a probability distribution? Check all answers that apply. 1 2.3 3 49 -Q.3 1.3 0 0 0 PD) because at least one of the probabilities is geater than one No, because the sum of the probabilities is different than one. No, because at least one of the probabiikies is ess than zera.

Explanation / Answer

The rule is- The sum of all probabilities in a probability distribution must be 1 and all individual probabilities must be less than 1 and none of the probabilities is <0

Let us now find the answers to the questions-

1) Sum of probabilities = 1 . So, option-(A)

2) Sum of probabilities > 1 and at X=4, probability is >1. So, options- (B and C)

3) Same reasoning as above. Option- B and C

4) Violation of B and D. So, not a probability distribution function

A probability density function is discrete if the values are finite while the probability density function is continuous if it can take any values between a range

5) It will be a finite and fixed number- So, discrete

6) It can be a value between the limits that the Fort Knox can hold- Continuous

7) Continuous

8) Discrete

9) Continuous

10) Discrete

11) P(X) required =1- {0.1+0.2+0.3+0.2} = 0.2

12)1 B + 4 W + 5 Y = Total 10

X = 0: 9/10

X =1: 1/10

Hope this helps and do rate the answer :)

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