Estimate the indicated probability by using the normal distrtbution as an approximation to the binomial distribution 19) With n=20 and p = 0,60, estimate P(fewer than 8).

P( x < 8) = 0.0344

Step-by-step explanation:

Step(i):-

Given 'n' = 20 and 'p' = 0.60

Mean of the binomial distribution = n p

μ = n p = 20 × 0.60 = 12

Mean 'μ' = 12

Standard deviation of the binomial distribution =

Standard deviation σ = 2.19

Step(ii):-

Let 'X' be the random variable of normal distribution

Let 'x' = 8

P( x < 8) = P( Z< -1.82)

            = 1- P( Z>1.82)   (∵ A(-1.82) = A(1.82)

           = 1 - (0.5 + A( 1.82))

          = 0.5 - A (1.82)

         = 0.5 - 0.4656

        = 0.0344

Conclusion:-

P( x < 8) = 0.0344

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

6(h+1)/2=a

a=area

step-by-step explanation:

its the same thing as a square or rectangle but after multiplying two sides you need to divide it by two.