Statistics

posted by .

1. Let x be the number of heads obtained in two tosses of a coin. The following table lists the probability distribution of x.
x 0 1 2
P(x) .25 .50 .25
Calculate the mean and standard deviation of x. Give a brief interpretation of the value of the mean.

  • Statistics -

    Mean = 0(.25)+ 1(.50) + 2(.25)
    Variance = 0^2(.25) + 1^2 (.50) + 2^2 (.25)

    Sd = sqrt((variance - mean^2))
    sd = sqrt(1.5- 1)= .7071067812

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    In a game, a player tosses a coin 4 times. If the player gets 3 or 4 heads, he/she wins. What is the theoretical probability of winning this game?
  2. Statistics

    Suppose that the probability distribution of a random variable x can be described by the formula P(x) = x/15 For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15 a Write out the probability distribution …
  3. statistics

    an experiment consists of 4 tosses of a coin.denoting the outcomes HHTH,THTT,..and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.
  4. Statistics

    A loaded coin is tossed 5 times, find the probability distribution for the number of heads, if heads are thrice likely to occur than tails. Let x be the number of heads that will turn up. Compute the probability associated to each …
  5. probability

    Consider 10 independent tosses of a biased coin with the probability of Heads at each toss equal to p, where 0<p<1. Let A be the event that there are 6 Heads in the first 8 tosses. Let B be the event that the 9th toss results …
  6. Probability

    Consider 10 independent tosses of a biased coin with the probability of Heads at each toss equal to p , where 0 < p < 1 . 1. Let A be the event that there are 6 Heads in the first 8 tosses. Let B be the event that the 9th toss …
  7. Math

    10. A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45, Suppose the coin is tossed twice and the results of tosses are independent. a.What is the probability of obtaining exactly two heads?
  8. Probability

    We have k coins. The probability of Heads is the same for each coin and is the realized value q of a random variable Q that is uniformly distributed on [0,1]. We assume that conditioned on Q=q, all coin tosses are independent. Let …
  9. probability

    Tossing a pair of coins We have a white coin, for which P(Heads)=0.4 and a black coin for which P(Heads)=0.6. The flips of the same or of different coins are independent. For each of the following situations, determine whether the …
  10. Math (statistics)

    The probability of obtaining heads on a biased coin is 0.4. The coin is tossed 600 times. a. i. Write down the mean number of heads (240) ii. Find the standard deviation of the number of heads (12) b. Find the probability that the …

More Similar Questions