The data in the tables below were collected from first year students at a community college. The variable is "number of credit cards." If the table below is a complete probability distribution, what must be the value of T? Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1.

2.

Now consider,

⇒

⇒

⇒

⇒

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x