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A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that will be greater than 25.
Based on what you searched regarding stratified random sampling,complete the following table
Number of COVID Cases in the 1st District of Nueva Ecija as of October 21, 2020
Municipalities | no.of patients | Proportion | |sample
— Cuyapo 15
— Nampicuan 0
— Guimba 24
— Licab 6
— Quezon 11
— Sto. Domingo 15
— Zaragoza 5
— Aliaga 16
— Talavera 24
TOTALS N= 116 100%
Source: Nueva EcijaTV48
Give the value of proportion and Sample
distingush between any two measure of vital statistics
Suppose the posterior distribution of θ is given by a mixture normal distribution:
θ|data∼0.5·N(0,1) + 0.5·N(10,1)
- Find the95% HPD credible interval of θ.
- Find the 95% equal-tail credible interval of θ
Based on a past record, a supermarket finds that 52% of people who enter the store will make a purchase. 24 people enter the store in an hour. (a) Find the mean and variance of customers who make a purchase. (b) Give ONE real life example of the probability is very unlikely to occur. (c) Give ONE real life example of the probability is very likely to occur.
1. Weights of newborn babies in a particular city are normally
distributed with a mean of 3380 g and a standard deviation of 475
g.
a. A newborn weighing less than 2100 g is considered to be at risk,
because the mortality rate for this group is very low. If a hospital
in the city has 500 births in a year, how many of those babies are
in the “at-risk” category?
b. If we redefine a baby to be at risk if his or her birth weight is
in the lowest 3%, find the weight that becomes the cutoff separating
at-risk babies from those who are not at risk.
c. If 20 newborn babies are randomly selected as a sample in a study,
find the probability that their mean weight is between 3200 g and
3500 g.
1. Information from the Department of Motor Vehicles indicates that
the average age of licensed drivers is 38.6 years with a standard
deviation of 10.4 years. Assume that the distribution of the
driver’s ages is normal.
a. What proportion of licensed drivers are from 25 to 45 years old?
b. Determine the ages of licensed drivers separating the upper 10% and
lower 10% percent of the population.
A normally distributed random variable X has a mean of 500 and a standard deviation of 40.
Prove or disprove:
a.) If 𝑃(𝐴) = 𝑃(𝐵) = 𝑝 then 𝑃(𝐴𝐵) ≤ 𝑝^2 .
b.) If 𝑃(𝐴) = 0 then 𝑃(𝐴𝐵) = 0.
c.) If 𝑃(𝐴̅) = 𝑎 and 𝑃(𝐵̅) = 𝑏 then 𝑃(𝐴𝐵) ≥ 1 − 𝑎 − 𝑏.
1. A lottery ticket pays off 300,000,000 pesos is made available for 10,000,000 tickets. Each ticket costs 50 pesos. Supposed the variable X gives the net winnings from playing the lottery. What is the expected gain for joining the lottery with only one ticket?
2. Randon samples with size 5 are drawn from the population containing the valies 26, 32, 41, 50, 58, and 60. Construct the distribution of the sample means, and what is the mean of the means?
3. Find the mean of the probability distribution involving the random variable X that gives the number of heads that appear after tossing four coins.
4. The probabilities that a printer produces 0, 1, 2, and 3 misprints are 42%, 28%, 18%, and 12%, respectively. Construct the probability Mass function and then compute the mean value of the random variable.
