Answer:
a. Mean = 6
Variance = 2.4
Standard Deviation = 1.55
b. P(X=16) = 0.124
Step-by-step explanation:
Given
n = Total shots = 10
p = Probability of success = 60%
p = 60/100
p= 0.6
q = Probability of failure
q = 1-p
q = 1 - 0.6
q = 0.4
a.
Mean = np
Mean = 10 * 0.6
Mean = 6
Variance = npq
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Standard Deviation = √Variance
Standard Deviation = √2.4
Standard Deviation = 1.549193338482966
Standard Deviation = 1.55 --------- approximated
b.
We have X = 16
x = 10
Assume that the events "success" on the various throws are independent.
The 10th success came on the 16th attempt
So, the player had exactly 10 successes and 6 failures on 16th trial
So Probability = nCr 0.6^10 * 0.4^6
Where n = 15 and r = 9 (number of attempts and success before the 16th trial)
15C9 * 0.6^10 * 0.4^6
= 5005 * 0.0060466176 * 0.004096
= 0.123958563176448
= 0.124 ------ Approximated
Answer:7.54
is already rounded to the nearest hundredth. but rounded to nearest whole number will be 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope of two parallel straight lines are the same.
Now, the slope of the line 
is 
as the straight line equation is in slope-intercept form.
Now, the equation of the straight line in slope-intercept form which is parallel to the above line is 
............. (1) , where c is any constant.
Now, point (-2,2) is on the line (1) {Given}
So, this point will satisfy the equation.
Hence, 
⇒ c = 3.
Therefore, the equation of the required straight line is (Answer)
