ANSWER
P(X=4 or X=1)=0.20
EXPLANATION
From the probability distribution table,
p(X=4)=0.15
p(X=1)=0.05
We want to find the value of
P(X=4 or X=1).
Recall that:
P(X=4 or X=1)=P(X=4)+P(X=1)
P(X=4 or X=1)=P(X=4)+P(X=1)
We substitute the probability values;
P(X=4 or X=1)=0.15+0.05
P(X=4 or X=1)=0.20
Answer:56.55
Step-by-step explanation:
Answer:
8<4*X
Step-by-step explanation:
8 less than is 8< the 4 times 4* a number so a variable, X
PLZ MARK ME AS BRAINIEST!
Answer:
the possible answers are 1, 10, 13
because 0*6=0+5=5 doesn't give you a number more than or equal to 11
83*6= 498+5= 503 is more than 83
Answer: 0.2789
Step-by-step explanation:
Given: Mean : ![\mu=10.00\ mm](https://tex.z-dn.net/?f=%5Cmu%3D10.00%5C%20mm%20)
Standard deviation : ![\sigma =0.03\ mm](https://tex.z-dn.net/?f=%5Csigma%20%3D0.03%5C%20mm)
The formula to calculate z-score is given by :_
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x= 9.96 mm, we have
![z=\dfrac{10-9.96}{0.03}\approx1.33](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B10-9.96%7D%7B0.03%7D%5Capprox1.33)
For x= 10.01 mm, we have
![z=\dfrac{10.01-10}{0.03}\approx0.33](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B10.01-10%7D%7B0.03%7D%5Capprox0.33)
The P-value = ![P(0.33](https://tex.z-dn.net/?f=P%280.33%3Cz%3C1.33%29%3DP%28z%3C1.33%29-P%28z%3C0.33%29)
![= 0.9082408- 0.6293=0.2789408\approx0.2789](https://tex.z-dn.net/?f=%3D%200.9082408-%200.6293%3D0.2789408%5Capprox0.2789)
Hence, the probability that a randomly selected gear has a diameter between 9.96 mm and 10.01 mm =0.2789