F(x) = 3x - 3, g(x) = 5x

A pet supplier has a stock of parakeets of which 20% are blue parakeets. A pet store orders 3 parakeets from this supplier. If t

Levart [38]

Answer:

0.384

Step-by-step explanation:

pet supplier has a stock of parakeets of which 20% are blue parakeets

20/100 = 0.2 blue parakeets (success)

1-0.2 = 0.8 not parakeets (not success)

A pet store orders 3 parakeets from this supplier

we need to find the chance of getting exactly one blue from 3 parakeets

$P(x=1)=nCr (p)^r(q)^{n-r}$

n=3, r=1, p = 0.2 , q=0.8

$P(x=1)=3C1 (0.2)^1(0.8)^{2}$

0.384

5 0

3 years ago

The table shows the price of movie tickets as a function of the number of tickets.

GaryK [48]

Answer: d

Step-by-step explanation:

5 0

3 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$