When conducting research on color blindness in​ males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied. x P(x)
0 0.669
1 0.278
2 0.048
3 0.004
4 0.001
5 0.000
1. Does the table show a probability distribution?
A Yes, the table shows a probability distribution.
B. No, the random variable x's number values are not associated with probabilities.
C. No, not every probability is between O and 1 inclusive.
D. No, the sum of all the probabilities is not equal to 1.
E. No, the random variable x is categorical instead of numerical.
2. Find the mean of the random variable x.
a. mu = male(s).
b. the table does not show a probability distribution.
3. Find the standard deviation of the random variable x.
a. infinity = male(s).
b. the table does not show a probability distribution.

1. Yes, the table shows a probability distribution.

2. 0.39 males.

3. 0.6082 males.

Step-by-step explanation:

The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given:

A probability distribution is given if the sum of all probabilities is 1.

We have that:

0.669 + 0.278 + 0.048 + 0.004 + 0.001 + 0 = 1

So yes, the table shows a probability distribution.

2. Find the mean of the random variable x.

We multiply each value by its probability. So

The mean is 0.39 males.

3. Find the standard deviation of the random variable x.

Square root of the subtraction squared of each value and the mean, multiplied by its respective probability. So

The standard deviation is of 0.6082 males.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²