If an electric circuit is not grounded, it is best to reach out and touch it to

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

3 years ago

You are making identical bagel platters using 40 plain bagels, 30 raisin bagels, and 24 blueberry bagels. what is the greatest n

Marat540 [252]

Answer:

100

Step-by-step explanation:

94 bagels in total. 100 will be plenty

4 0

3 years ago

Read 2 more answers

Help me with this?!!!!

anygoal [31]

Answer:

14

Step-by-step explanation:

we can use sin(30⁰) to solve this and the units will be 14

4 0

3 years ago

Read 2 more answers

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w

Rina8888 [55]

Answer:

a) The general solution θ = nπ±π/6

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b) The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Step-by-step explanation:

Step( i):-

Given an equation 2 cos (2θ)-1 =0

2 cos (2θ) = 1

cos(2θ) = 1/2

cos(2θ) = cos (π/3)

Step(ii):-

a)

The general solution of cos θ = cos ∝ is given by

θ = 2nπ±∝

The general solution of cos(2θ) = cos (π/3) is

2θ = 2nπ±π/3

θ = nπ±π/6

Put n=0 θ = ±π/6

Put n =1 θ = π±π/6

θ = π-π/6 = 5π/6

θ = π+π/6 = 7π/6

put n =2

θ = 2π±π/6

θ = 2π-π/6 = 11π/6

θ = 2π+π/6 = 13π/6

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Final answer:-

a)

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

8 0

3 years ago

Carl is conducting a survey for the school paper, he finds that 7 students have no pets, 15 have one pet, and 9 have at least tw

Elenna [48]

I would say around 14%

4 0

3 years ago