Draw a line with the given intercepts. X - y intercept: 3 Y- intercept: 5

Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0

3 years ago

If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product

storchak [24]

Answer:

1/6

Step-by-step explanation:

The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).

For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.

So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.

The probability is 1/6.

8 0

3 years ago

A deposit $400 into an account that pays simple interest ta a rate of 3% per year how much interest will be paid in the first 5

ValentinkaMS [17]

Answer:

$60

Step-by-step explanation:

This is because 400 times 0.03 is 12 and 12 times 5 is 60

6 0

3 years ago

A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

Kitty [74]

Answer:

H. 3 units

Step-by-step explanation:

In order to answer this question, we have to apply the formula for the sphere volume. The formula is:

$V=\frac{4}{3} \pi r^{3}$

Plugging the given number into V, we calculate that:

$113 = \frac{4}{3}\pi r^{3}\\84.75 = \pi r^{3} \\$

If π=3.14, the radius is:

r ≈ 3 units.

4 0

3 years ago

The parabola shown is congruent to y = x^2. a) what are the zeroes of the function? B) write the equation in factored form.

Murljashka [212]

Answer:

idk

Step-by-step explanation:

8 0

3 years ago