All categories

3 years ago

Suppose the discrete random variable X has the probability distribution below:

Mathematics

1 answer:

Talja [164]3 years ago

4 0

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

You might be interested in

One teacher wants to give each student 1/3 of a slice of pizza. If the teacher has 5 slices of pizza then how many students will

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

in each slice of pizza, 3 people have one

so 2 x 5 = 15

3 0

3 years ago

Tim earns $12 per hour as head lifeguard at Sammy's Swim Park. As a first year lifeguard Jack earns 30% less than Tim, and as a

monitta

Tim = 12
Jack 1st = 12 - (12 x 0.30)

second year
Jim = 1 + x
Jack = x

12 - (12 x 0.30) =
12 - 3.6 = 8.4
Jack = $8.4 per hour

Tim = 8.4 + 1
Tim = $9.4 per hour

5 0

4 years ago

Simplify the product using the distributive property.<br> (3x + 7)(8x - 5)

ExtremeBDS [4]

Answer:

24x^2+41x-35

Step-by-step explanation:

(3x+7)(8x-5)

24x^2+56x-15x-35

24x^2+41x-35

6 0

3 years ago

Read 2 more answers

Which situation is linear? A) a sample of bacteria is doubling every day B) the number of cars each hour on a road for a week C)

Naily [24]

I think it would be A

8 0

4 years ago

Read 2 more answers

The smallest object visible with your eyes is similar to the width of a piece of hair, which is 1×10−4 meters wide. Using an opt

Sloan [31]

Answer:

B. $5\times10^{2}$

Step-by-step explanation:

We are told that the smallest object visible with our eyes is similar to the width of a piece of hair, which is $1\times 10^{-4}$ meters wide.

Using an optical microscope, we can see items up to $2\times 10^{-7}$ meters wide.

To find the objects we can see with our eyes are how much larger than the objects we can see with an optical microscope, we can set an equation as:

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=\frac{1*10^{-4}}{2*10^{-7}}$

Using the exponent rule of quotient $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=\frac{1}{2}*10^{-4-(-7)}$

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10^{-4+7}$

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10^{3}$

$\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10\times 10^{3-1}$

$\text{The object we can see with our eyes}=5\times10^{2}*\text{The objects we can see with microscope}$

Therefore, the objects we can see with our eyes are $5\times10^{2}$ times larger than the objects we can see with an optical microscope and option B is the correct choice.

3 0

3 years ago