MATH 110 MODULE 4: Problem Set 3: Introduction to Statistics Solutions 100%

MATH 110 MODULE 4: Problem Set 3: Introduction to Statistics Solutions 100%. Find P(Z ≤ .35). This is asking for the probability that the standard normal random variable, Z, is less than .35. Recall that the standard normal distribution table gives us values to the left of the z value, so that is exactly what we want. From the table, we get P(Z ≤ .35) = .63683. 2. Find P(Z ≤ 1.04) . This is asking for the probability that the standard normal random variable, Z, is less than 1.04. The standard normal distribution table gives us values to the left of th l th t i tl h t t F th t bl t This study source was downloaded by from CourseH on :40:56 GMT -05:00 8/7/2020 M4: Problem Set 3: Introduction to Statistics- Lagios the z value, so that is exactly what we want. From the table, we get P(Z ≤ 1.04) = .85083. 3. Find P(Z ≤ - .85). This is similar to the previous two problems. From the table, we get P(Z ≤ - .85) = .19766. 4. Find P(Z ≤ 1.93). This is similar to the previous three problems. From the table, we get P(Z ≤ 1.93) = .97320. 5. Find P(Z ≤ - .05). This is similar to the previous four problems. From the table, we get P(Z ≤ - .05) = .48006. 6. Find P(Z ≥ .63) . This is asking for the area to the right of z=.63 (see the shaded area in the diagram below) but if we look up z=.63 in the table, we will get the area to the left of z=.63. Since the total area under the curve is 1, we can use: P(Z ≥ .63) = 1 - P(Z ≤ .63)