a) What is P(3<X \le 10)?b) What is P(X \geq 3)?

Lorenzolaji

Lorenzolaji

Answered question

2021-11-20

a) What is P(3<X10)?
b) What is P(X3)?
Given the discrete probability distribution of a certain experiment, answer the following questions.
x134510Probability P(X=x)0.300.200.100.150.25

Answer & Explanation

Luis Sullivan

Luis Sullivan

Beginner2021-11-21Added 11 answers

Given data,
- The probability distribution table of the certain experiment is,
x134510Probability P(X=x)0.300.200.100.150.25
Step 1
a) The value of P(3<X10) is,
P(3<X10)=P(X=4)+P(X=5)+P(X=10)
The probability of X=4 is 0.10.
The probability of X=5 is 0.15.
The probability of X=10 is 0.25.
Substituting the values then,
P(3<X10)=P(X=4)+P(X=5)+P(X=10)
=0.10+0.15+0.25
=0.50
Hence, the required probability is 0.50.
Step 2
b) The value of P(X3) is,
P(X3)=P(X=1)+P(X=3)
The probability of X=1 is 0.30.
The probability of X=3 is 0.20.
Substituting the values then,
P(X3)=P(X=1)+P(X=3)
=0.30+0.20
=0.50
Hence, the required probability is 0.50.

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