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Math

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Can someone answer a question similar to a and b so I can use as an example.
Consider the following binomial random variables.
(a) The number of tails seen in 47 tosses of a quarter.
(i) Find the mean. (Give your answer correct to one decimal place.)


(ii) Find the standard deviation. (Give your answer correct to two decimal places.)


(b) The number of left-handed students in a classroom of 59 students (assume that 17% of the population is left-handed).
(i) Find the mean. (Give your answer correct to one decimal place.)


(ii) Find the standard deviation. (Give your answer correct to two decimal places.)

  • Math -

    I have 24 questions like the two above and if anyone can help I will use them as examples and work the other ones. I do so much better with examples. Thank you

  • Math -

    For a binomial distribution with N bernoulli trials with probability of success p (i.e. failure q = 1-p),
    the following properties can be proved:
    mean = Np
    variance = Npq
    Take the square-root of variance to get standard deviation.

    In 15 tosses of a fair dime, N=15, p=0.5, q=1-0.5=0.5
    so mean = 15*0.5=7.5
    standard deviation = sqrt(Npq)=√(15*.5*.5)=1.936

  • Math -

    Thank you, I have worked 3 out like the first one, but how do you do one with % just show me example as the one above, don't have to use those numbers just something I can go by...I did get the other 3 I worked out right..Thanks again

  • Math -

    17% are left-handed means
    P(left-handed)=0.17
    (remember 17%=17/100=0.17)
    so
    N=59, p=0.17, q=1-0.17=0.83
    you can take it from here!

  • Math check -

    Ok I have got this far and missed the last two on standard deviation, can you look at these and tell me how I missed them?
    (23) The number of cars found to have unsafe tires among the 379 cars stopped at a roadblock for inspection (assume that 15% of all cars have one or more unsafe tires).
    (i) Find the mean. (Give your answer correct to one decimal place.)
    Correct: Your answer is correct. .
    56.9 by 379 x .15 =
    (ii) Find the standard deviation. (Give your answer correct to two decimal places.)
    Incorrect: Your answer is incorrect. . answer 6.79 by sqrt(379 x .15x.81)

    (24) The number of melon seeds that germinate when a package of 60 seeds is planted (the package states that the probability of germination is 0.89.
    (i) Find the mean. (Give your answer correct to one decimal place.)
    Correct: Your answer is correct. 53.40 by 60 x 0.89 =

    (ii) Find the standard deviation. (Give your answer correct to two decimal places.)
    Incorrect: Your answer is incorrect. sqrt(60 x .89x.18) = 3.07 and tried again 3.10

  • Math -

    For 23)(ii) I have
    σ=√(npq)=√(379*0.15*0.85)=6.95

    For 24(ii)
    p=0.89,
    q=1-0.89=0.11
    σ=√(npq)

  • Math check -

    Ok (23) I got the standard deviation as 1.99 and on (24) I got standard deviation as 0.73. I have worked and worked these and I am missing something if this is not right.

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