I want solutions of all these examples. Example 4The probability of winning a prize in a game of chance is 0.48. What is the least number of games that must beplayed to ensure that the probability of winning at least twice is more than 0.95?Example 5The yield of a variety of Farmer Jase's pumpkin patch has a probability density function:kx,0 Šx<3f(x) = }k(6 – x), 3 6a. Find the varianceb. Find the probability Pr(u – 1 a) = 0.6, giving your answer correct to one decimal place.Example 6In a small factory producing bamboo products, the standard acceptable measurement for a bamboo straws'lengths are between 10.085 cm and 12.075 cm. Alexis has noticed that 6% of the straws are rejected for beingtoo short and another 6% are rejected for being too tall. What is the mean and standard deviation ofdistribution assuming that the straws' lengths are normally distributed? (2dp)Example 7A sample of four chocolate bars are randomly selected from a box of ten. Six of the chocolates in the box aremilk chocolate. (without replacement)a. Create a probability distribution table showing the sampling distribution of the sample proportionof milk chocolate bars in the sample.b. Evaluate Pr(0 < P <0.7) and hence evaluate Pr(P < 0.7 | P > 0).Example 8In a particular university, the probability that any one student is male is 0.65. Four students are selected atrandom from this university as a sample.a. Create a probability distribution table showing the sampling distribution of the sample proportionof female students in the sample. (4dp)b. Find Pr(P <0.65|P > 0). (4dp)Example 9A study is done in Sydney to estimate the proportion of people living there who have travelled outside ofAustralia. Previous research has found that this proportion is equal to roughly 28%.a. Find the minimum sample size needed for the study in order to obtain a minimum of 5% margin oferror in an approximate 95% confidence interval for this proportion. (use k=1.96)

Name: I want solutions of all these examples. Example 4The probability of wi
Uploaded: 2024-03-20T07:07:26.000Z
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Description: I want solutions of all these examples. Example 4The probability of winning a prize in a game of chance is 0.48. What is the least number of games that must beplayed to ensure that the probability of winning at least twice is more than 0.95?Example 5