(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (For each answer, enter a number. Enter your answers to 2 decimal places.) 2. 3 4. 08 18 29 1436 .08 Enter a number. (b) Do the probabilities add up to 17 Why should they? O Yes, because they do not cover the entire sample space. O No, because they do not cover the entire sample space. O Yes, because they cover the entire sample space. O No, because they cover the entire sample space. What is the sample space in this problem? O 0, 1, 2, 3 personality preferences in common O 1, 2, 3, 4 personality preferences in common O 0, 1, 2, 3, 4, 5 personality preferences in common O 0, 1, 2, 3, 4 personality preferences in common
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples ch
similar or different personality types in their mates? The following data give an indication.
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Married Couples
Number of Similar Preferences
All four
30
Three
135
Two
110
One
69
None
31
Suppose that a married couple is selected at random.
(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (For each answer, enter a number. Enter your
answers to 2 decimal places.)
1
1 08
2 18
3 29
4 36
.08
Enter a number,
(b) Do the probabilities add up to 1? Why should they?
O Yes, because they do not cover the entire sample space.
O No, because they do not cover the entire sample space.
O Yes, because they cover the entire sample space.
O No, because they cover the entire sample space.
What is the sample space in this problem?
O 0, 1, 2, 3 personality preferences in common
O 1, 2, 3, 4 personality preferences in common
O 0, 1, 2, 3, 4, 5 personality preferences in common
O 0, 1, 2, 3, 4 personality preferences in common
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