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Math Help - Finding the indicated probability

  1. #1
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    Finding the indicated probability

    1. In a certain college , 33% of the physics majors belong to ethnic minorities. If 10 students are selected at ranom from the physics majors, that is the probability that no mre than 6 belong to an ethnic minoirty

    Is this right?
    p(No more that 6 belong to ethnic minority)
    N=10
    P=.33
    X to r = 5

    In TI-84 I compute
    Bicdf(10,.33,5=.9267995433 or .9268 (R/up)

    2. Find the probability of at least 2 girls in 10 births. Assume that male and female births are equal likely and that the births are independent events?

    Would I use Binominalcdf or Pdf....Im guessing?

    No Clue.... Need definitive help


    3.The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a std deviation 1.2 oz . What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz


    No Clue...need definitive help..... do know it will be negative side I know I would have to find what my Probability is, Sigma, What Z is ....can anyone help
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  2. #2
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    Quote Originally Posted by Cribster01 View Post
    1. In a certain college , 33% of the physics majors belong to ethnic minorities. If 10 students are selected at ranom from the physics majors, that is the probability that no mre than 6 belong to an ethnic minoirty

    Is this right?
    p(No more that 6 belong to ethnic minority)
    N=10
    P=.33
    X to r = 5

    In TI-84 I compute
    Bicdf(10,.33,5=.9267995433 or .9268 (R/up)

    Mr F says: Pr(X \leq 6) \Rightarrow \, binomcdf(10, 0.33, 6)

    2. Find the probability of at least 2 girls in 10 births. Assume that male and female births are equal likely and that the births are independent events?

    Would I use Binominalcdf or Pdf....Im guessing?

    No Clue.... Need definitive help

    Mr F says: Pr(X \geq 2) = 1 - Pr(X \leq 1) \Rightarrow \, 1 - binomcdf(10, 0.5, 1)

    3.The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a std deviation 1.2 oz . What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz

    Mr F asks: Are you doing this one using technology? If so, what calculator? TI-83? TI-89? ...... if you're using technology you don't need to convert to z-value etc. (only do this if you're using tables).

    No Clue...need definitive help..... do know it will be negative side I know I would have to find what my Probability is, Sigma, What Z is ....can anyone help
    ..
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  3. #3
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    I am using TI-84 as instructed by professor

    Can U help?
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  4. #4
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    Quote Originally Posted by Cribster01 View Post
    [snip]
    3.The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a std deviation 1.2 oz . What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz
    [snip]
    normalcdf(lower value, upper value, mean, standard deviation) gives the probabilty that a normally distributed random variable will lie between given lower and upper values.

    Normally distributed with a mean of 32.3 and a std deviation 1.2 and requiring \text{Pr}(-\infty < X < 32.3) \Rightarrow \, normalcdf(-E99, 32, 32.3, 1.2)
    where -E99 is a 'fudge' for -oo.
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