At high school, 85% of students are right-handed. Let X - the number of students who are right-handed in a random sample of 10 students from the schools. Which one of the following statements about the mean and standard deviation of the sampling distribution of X is true?A) mean = 8.5; SD = 1.129
B) mean = 8.5; SD = 0.113
C) mean = 85; SD = 1.129
D) mean = 85; SD = 0.113
E) Neither the mean or the standard deviation can be calculated from the information given.

The correct option is (A) mean = 8.5; SD = 1.129.

Step-by-step explanation:

The random variable X is defined as the number of students who are right-handed.

The proportion of the number of students who are right-handed is, p = 0.85.

The random sample is of size, n = 10.

The random variable X follows a Binomial distribution.

The mean and standard deviation of a binomial distribution can be computed as:

Compute the mean and standard deviation of the sampling distribution of X as follows:

The mean and standard deviation of the sampling distribution of X are 8.5 and 1.129.

The correct option is (A).

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: