Twins can be identical boys, identical girls, non-identical boys, non-identical girls or one boy and one girl. What are the poss
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Answer:
For x = 0, P(x = 0) = 0.35
For x = 1, P(x = 1) = 0.54
For x = 2, P(x = 2) = 0.11
For x = 3, P(x = 3) = 0
Step-by-step explanation:
We are given that the Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected, one at a time, without replacement.
Let X = <u><em>the number that are not correctly calibrated.</em></u>
Number of altimeters that are correctly calibrated = 6
Number of altimeters that are not correctly calibrated = 2
Total number of altimeters = 6 + 2 = 8
(a) For x = 0: means there are 0 altimeters that are not correctly calibrated.
This means that all three selected altimeters are correctly calibrated.
Total number of ways of selecting 3 altimeters from a total of 8 =
The number of ways of selecting 3 altimeters from a total of 6 altimeters that are correctly calibrated =
So, the required probability =
= = <u>0.35</u>
(b) For x = 1: means there is 1 altimeter that is not correctly calibrated.
This means that from three selected altimeters; 1 is not correctly calibrated and 2 are correctly calibrated.
Total number of ways of selecting 3 altimeters from a total of 8 =
The number of ways of selecting 2 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated =
The number of ways of selecting 1 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated =
So, the required probability =
= = <u>0.54</u>
(c) For x = 2: means there is 2 altimeter that is not correctly calibrated.
This means that from three selected altimeters; 2 are not correctly calibrated and 1 is correctly calibrated.
Total number of ways of selecting 3 altimeters from a total of 8 =
The number of ways of selecting 1 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated =
The number of ways of selecting 2 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated =
So, the required probability =
= = <u>0.11</u>
(d) For x = 3: means there is 3 altimeter that is not correctly calibrated.
This case is not possible, so this probability is 0.
The total fabric used for headband and wristband of a player was: 27.84 inches
Step-by-step explanation:
The question will be solved step by step.
So,
Total ribbon used for headbands = 883.68 inches
Total number of people for whom headbands were made = 46 players + 2 coaches = 48 inches
so the headband for one person will use fabric:
Then
Total fabric used for wristbands = 433.78 inches
Total players = 46
Total fabric for one player = 18.41 + 9.43 = 27.84 inches
Hence,
The total fabric used for headband and wristband of a player was: 27.84 inches
Keywords: Fractions, decimals
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