List the probability value for each possibility in the binomial experiment calculated at the beginning of this lab, which was calculated wit

Question

List the probability value for each possibility in the binomial experiment calculated at the beginning of this lab, which was calculated with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places) (8 points) P(x=0) P(x=1) P(x=2) P(x=3) P(x=4) P(x=5) P(x=6) P(x=7) P(x=8) P(x=9) P(x=10)

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Charlie 2 weeks 2022-01-12T17:02:04+00:00 1 Answer 0 views 0

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    2022-01-12T17:03:51+00:00

    Answer:

    P (X = 0) = 0.001        P (X = 4) = 0.205        P (X = 8) = 0.044

    P (X = 1) = 0.010         P (X = 5) = 0.246        P (X = 9) = 0.010

    P (X = 2) = 0.044        P (X = 6) = 0.205       P (X = 10) = 0.001

    P (X = 3) = 0.117          P (X = 7) = 0.117

    Step-by-step explanation:

    In case of a Binomial experiment there are n repeated trials and each trial has only two outcomes: Success or Failure. The probability of success is denoted by p and the probability of failure is (1 – p).

    The binomial experiment follows a discrete probability distribution with PDF :

    P(X =x)={n\choose x}p^{x}(1-p^{n-x};x = 0, 1, 2, 3…

    Given: n = 10 and p = 0.50

    (1)

    The value of P (X = 0) is:

    P(X =0)={10\choose 0}(0.50)^{0}(1-0.50)^{10-0}=1\times 1\times 0.00097\approx0.001

    (2)

    The value of P (X = 1) is:

    P(X =1)={10\choose 1}(0.50)^{1}(1-0.50)^{10-1}=10\times 0.50\times 0.00195\approx0.010

    (3)

    The value of P (X = 2) is:

    P(X =2)={10\choose 2}(0.50)^{2}(1-0.50)^{10-2}=45\times 0.25\times 0.00391\approx0.044

    (4)

    The value of P (X = 3) is:

    P(X =3)={10\choose 3}(0.50)^{3}(1-0.50)^{10-3}=120\times 0.125\times 0.007813\approx0.117

    (5)

    The value of P (X = 4) is:

    P(X =4)={10\choose 4}(0.50)^{4}(1-0.50)^{10-4}=210\times 0.0625\times 0.015625\approx0.205

    (6)

    The value of P (X = 5) is:

    P(X =5)={10\choose 5}(0.50)^{5}(1-0.50)^{10-5}=252\times 0.03125\times 0.03125\approx0.246

    (7)

    The value of P (X = 6) is:

    P(X =6)={10\choose 6}(0.50)^{6}(1-0.50)^{10-6}=210\times 0.015625\times 0.0625\approx0.205

    (8)

    The value of P (X = 7) is:

    P(X =7)={10\choose 7}(0.50)^{7}(1-0.50)^{10-7}=120\times 0.007813\times 0.125\approx0.117

    (9)

    The value of P (X = 8) is:

    P(X =8)={10\choose 8}(0.50)^{8}(1-0.50)^{10-8}=45\times 0.00391\times 0.25\approx0.044

    (10)

    The value of P (X = 9) is:

    P(X =9)={10\choose 9}(0.50)^{9}(1-0.50)^{10-9}=10\times 0.00195\times 0.50\approx0.010

    (11)

    The value of P (X = 10) is:

    P(X =10)={10\choose 10}(0.50)^{10}(1-0.50)^{10-10}=1\times 0.00097\times 1\approx0.001

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45:7+7-4:2-5:5*4+35:2 =? ( )