From a group of 10 people, 5 are selected at random to participate in a game show. In how many ways can the 5 people be selected
2 answers:
Answer:
The correct option is B. 252
Step-by-step explanation:
Total number of peoples in the group = 10
Number of peoples needed to be selected from the group of 10 peoples = 5
We need to find the total number of ways in which we can select the 5 peoples.
Hence, Total number of required ways = 252
Therefore, The correct option is B. 252
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Answer:
Correct option is (d): Neither X nor Y can be well-approximated by a normal random variable.
Step-by-step explanation:
The sample size of males having color-blindness is, n (X) = 20.
The sample size of females having color-blindness is, n (Y) = 40.
The proportion of males that suffer from color-blindness is, P (X) = 0.08.
The proportion of females that suffer from color-blindness is, P (Y) = 0.01.
Now both the random variables <em>X</em> and <em>Y</em> follows a Binomial distribution,
A normal distribution is used to approximate the binomial distribution if the sample is large, i.e <em>n</em> ≥ 30 and the probability of success is very close to 0.50.
Also if <em>np</em> ≥ 10 and <em>n</em> (1 - <em>p</em>) ≥ 10, the binomial distribution can be approximated by the normal distribution.
<u>For the sample of men (X):</u>
In this case neither <em>n</em> > 30 nor <em>p</em> is close to 0.50.
And <em>np</em> < 10.
Thus, the random variable <em>X</em> cannot be approximated by the normal distribution.
<u>For the sample of men (Y):</u>
In this case <em>n</em> > 30 but <em>p</em> is not close to 0.50.
And <em>np</em> < 10.
Thus, the random variable <em>Y</em> cannot be approximated by the normal distribution.
Thus, both the random variables cannot be approximated by the normal distribution.
The correct option is (d).
Given:
The mean age of 5 people in a room is 26 years.
A person enters the room. The mean age is now 33.
To find:
The age of the person who entered the room.
Solution:
Formula for mean:
The mean age of 5 people in a room is 26 years.
The mean age is now 33. It means, the mean age of 6 people is 33.
Now, the age of the person who entered the room is
Required age = Sum of ages of 6 people - Sum of ages of 5 people
=
=
Therefore, the age of the person who entered the room is 68 years.