The graph shows a probability distribution. What is P(X<5)

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note: The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:

(average length)·(width, which here is:

2 + 5

----------- · 0.02 = (7/2)(0.2) = 0.70

Thus, P(x < 5) = 0.70

You might be interested in

A football stadium holds 17,700 seats. The lower level has 300 seats less than 4 times the number of seats in the upper level. T

grigory [225]

Answer:

6x + 200 = 17,000

Step-by-step explanation:

Lower level = 4x - 300

Mid level = 2x + 500

Combine the two equations to find the number of seats in the upper level

(2x + 500) × (4x - 300) = 17,000

Combine like terms

4x × 2x + 500 - 300 = 17,000

3 0

2 years ago

Read 2 more answers

What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?

BartSMP [9]

Answer:

Step-by-step explanation:

8 0

3 years ago

Laura has a rectangular piece of wood that is 7in by 4in she wants to cover it with strips of ribbon that are 1/4 inch wide what

inn [45]

Answer: 112 inches.

Step-by-step explanation:

You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.

Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

$n=\frac{4in}{\frac{1}{4}in}\\\\n=16$

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

$lenght=(16)(7in)\\lenght=112in$