MATH

posted by .

Answer the following:
(A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30.
(B) Set up, without solving, the binomial probability P(x is at most 4) using probability notation.
(C) How would you find the normal approximation to the binomial probability P(x = 4) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations.

  • MATH -

    =0.2311

    (B) p(x is at most 4)=P (x,=4)=p(0)+p(1)+p(2)+p(3)+p(4)
    =c(12,0)(0.30)^0(1-0.30)^2(12-0)+c(12,1)(0.30)^1(1-0.30)^(12-1)
    +c(12,2)(0.30)^2(1-0.30)^(12-2)+c(12,3)(0.30)^3(1-0.30)^(12-3)+c(12,4)(0.30)^4(1-0.30)^(12-4)

    (C) u=np=12*0.3=3.6
    12*0.3*0.7=2.52
    (2.52)=1.5875
    to find p(4), we applies the continuity correction factor and find p(3.5<x<4.5). this because using the normal distribution p(x=4) will be 0.
    z=(3.4-3.6)/1.5875=-0.0630and z=(4.5-3.6)/1.5875=0.5669
    P(4)= P(3.5<x<4.5)=P(-0.063<z<0.5669)=0.2397

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. NSU, Finite Math

    Problem Solving:Using the Binomial Formula: P(x)=(nCx)pxqn-x A Dozen Eggs An egg distributor determines that the probability that any individual egg has a crack is .014. a)Write the binomial probability formula to determine the probability …
  2. Statistics

    Suppose we want to determine the (binomial) probability (p) of getting 4 heads in 15 flips of a 2-sided coin. Using the Binomial Probabilities Table in Appendix B of the text, what values of n, x and p would we use to look up this …
  3. college ststistics

    A. find the binomial probability p(x=5) where n=14 and p=0.30. B. setup without solving the binomial probability p(x is at most 5) using probability notation C. how would you find normal approximation to the binomial probability p(x=5) …
  4. statistics

    Answer the following: (A) Find the binomial probability P(x = 5), where n = 12 and p = 0.70. (B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. (C) How would you find the normal approximation …
  5. Statistics

    (a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, …
  6. STATISTICS

    (a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, …
  7. stastistics

    With n=13 and p=0.7, find the binomial probability P(9)by using a binomial probability table. If np> and nq>5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial,if np<5 …
  8. statistics

    With n=13 and p= 0.7, find the binomial probability p(9) by using a binomial probability table. If np> and nq> 5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, if …
  9. statistics

    S) Suppose we want to determine the (binomial) probability (p) of getting 5 heads in 15 flips of a 2-sided coin. Using the Binomial table in the appendix of the text, what values of n, x, and p would we use to look up this probability, …
  10. Probability and statistics

    Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.n=22, x=18, p=0.85, …

More Similar Questions