What can we generate if we take the squares of standard deviation? * O Probability value O Mean value O Expected value O Variance If the variance of a probability distribution is 2.6 grams, what is the standard deviation? * O 1.61 1.06 O 1.16 1.01Which of the following best describe the standard deviation of a probability distribution? * It is the product of the mean and the variance. O It is the square root of the variance. O It is twice the variance. O It is the ratio of the mean and the variance. The number of qualified voters living in the household on a randomly selected Subdivision block is described by the following probability distribution. What is the probability that less than 3 votes will be in any household? * Number of qualified voter/s, x 1 2 3 4 Probability, P(X) 0.25 0.50 0.15 0.10 0.50 0.25 0.75 O 1.00What is the area between z = - 1.23 and z = 2?* 0.4772 O 0.8679 O 0.0865 O 0.8779 Based on the empirical rule, the bell-shaped distribution will have approximately 68% of the data within what number of Standard Deviations from the mean? * O . 3 O 2 O 1Which of the following is TRUE about the value of the mean of a discrete random variable? * Men value is equal to the expected value O Mean, Variance, and Standard Deviation are equal. O Mean Value is always equal to 1 O Mean Value cannot be negative If the average age of retirement for the population in the Philippines is 65 years. with a standard deviation of 5 years, what is the approximate age range in which 68% of people retire? * 60-65 years O 55 - 60 years O 55 - 65 years 60 - 70 yearsSuppose the provincial health officer of Quezon reported that the average COVID 19 positive for 30 days is 8 patients with the standard deviation of 4 patients. What is the z score of 15 patients? * 1.75 -1.75 5.75 -5.75 What do you call a variable that can be discrete or continuous? * O Random elimination O Random sample O Random variable O Random notationIf the scores in a Probability and Statistics test are normally distributed with a mean of 31 and standard deviation of 4.5. What is the z-score for a score of 40? * O 1 O 2 2.5 O 3 What variable whose value could be a finite and countable number? * O Discrete variable Poison variable O Continuous variable Qualitative variableThe given table shows the probability distribution of a random variable Z which represents the percentage of male students per section among Grade 11 senior high school students. Find P(Z211). * Z 8 9 11 14 15 18 P(Z) 8% 8% 25% 17% 25% 17% O 84% O 59% O 51% O 43% Which of the following statements is CORRECT about the shape of the normal curve? * O The shape of the normal curve is based on the given Mean and Standard Deviation of the distribution. O The shape of the normal curve is based on the given Mean and Median of the distribution. O The shape of the normal curve is based on the given area and standard Deviation of the distribution. All of the above.1lI'I.lhere can we find the area of a specific region under the curve? * 1lI'I.lhich of the following statement DOES NOT describe a continuous random variable? * The number of towns belong to Quezon Province Height of students in a certain class The average weight oi chicken each day 0000 The distance travelled by a delivery Iran in an hour Sample Space=[TTT, TTH, THT, HTT, HHT, HTH, THH, HHH). What are the possible values of the random variable for the number of heads? * O 0, 1 0, 1,2 1,2, 3 0, 1, 2, 3 Which of the following terms is considered as a measure of the "central location" of a random variable? * O mean value variance O probability value numerical valueFind the sum of the areas under the standard normal curve to the left of z = 4.35 and to the right of z = 2.26. * The mean scare at the students on pare-assessment is 10 and the standard deviation is 2. What was Elsan's raw.I score if his 2 - score is 3? * 015 O4 012 021] Two jars both contain the numbers 2. 4. s. and s. The following table shows the probability distribution of the sum when one number from each jar is taken at a time with replacement. Solve PH} + Prey. * 0 she 0 ms 0 em; 0 ans 2 =1.25. Identify the regions under the normal curve of the standard normal values using the 2 table. * What must be the value of the probability of each random variable? * -1 = P(X) = 1 P( X) 20 P(X) = 1 0 SP(X ) $ 1 Suppose two laptops are tested. Let D represent the defective laptop and N represent the non-defective laptop. What are the possible sample spaces for the experiment? * O DD, DN, NN, ND O DD, ND, NN O DD, NN O DD, DN, NNWhich of the following is the correct value of standard deviation (o) of a discrete random variable X if the variance is 2.5754?* O 1.60 1.61 O 1.01 O 1.06 Which of the following is an example of a discrete random variable? * O height of basketball players O number of heads that will come out if you toss a coin twice O weight of newborn babies O body temperature of COVID-19 patientsWhich part of the normal curve is extended indefinitely in both directions along the horizontal axis, approaching but never touching it? * O center O tail O top O spread What is the sum of the area that corresponds to the right of 0 and to the left of 0? * O 2 O 1 O 0.5 1.5The given table shows the probability distribution of a random variable Z which represents the percentage of male students per section among Grade 11 senior high school students. Find P(8