Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

Standard deviation:
Square root of the variance. So

The standard deviation of this probability distribution is 1.2.
Answer:
They are similar.
Step-by-step explanation:
Triangle VLM is only 3.5 times smaller than UTM

★ ∆ ABC is similar to ∆DEF
★ Area of triangle ABC = 64cm²
★ Area of triangle DEF = 121cm²
★ Side EF = 15.4 cm

★ Side BC

Since, ∆ ABC is similar to ∆DEF
[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]

❍ <u>Putting the</u><u> values</u>, [Given by the question]
• Area of triangle ABC = 64cm²
• Area of triangle DEF = 121cm²
• Side EF = 15.4 cm

❍ <u>By solving we get,</u>






<u>Hence, BC = 11.2 cm.</u>

★ Figure in attachment.

Ignore the fact that it says limit because when sin (pi) is here it is not an Undefined Point, whatever value the calculator says is sin(pi) is the answer.