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Statistics S1 Doubts

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PLZZZ TELL (ii)b !!!

Nine cards are numbered 1, 2, 2, 3, 3, 4, 6, 6, 6.
(i) All nine cards are placed in a line, making a 9-digit number. Find how many different 9-digit
numbers can be made in this way
(a) if the even digits are all together, [4]
(b) if the first and last digits are both odd. [3]

(ii) Three of the nine cards are chosen and placed in a line, making a 3-digit number. Find how
many different numbers can be made in this way
(a) if there are no repeated digits, [2]
(b) if the number is between 200 and 300
 
Messages
283
Reaction score
506
Points
103
PLZZZ TELL (ii)b !!!

Nine cards are numbered 1, 2, 2, 3, 3, 4, 6, 6, 6.
(i) All nine cards are placed in a line, making a 9-digit number. Find how many different 9-digit
numbers can be made in this way
(a) if the even digits are all together, [4]
(b) if the first and last digits are both odd. [3]

(ii) Three of the nine cards are chosen and placed in a line, making a 3-digit number. Find how
many different numbers can be made in this way
(a) if there are no repeated digits, [2]
(b) if the number is between 200 and 300
i know how to do this.its easy
 
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please help
(ii) Another set consists of 6 plastic mugs each of a different design and 3 china mugs each of a
different design. Find in how many ways these 9 mugs can be arranged in a row if the china
mugs are all separated from each other. [3]
 
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134
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30
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38
A box contains five balls numbered 1, 2, 3, 4, 5. Three balls are drawn randomly at the same time
from the box.
(i) By listing all possible outcomes (123, 124, etc.), find the probability that the sum of the three
numbers drawn is an odd number. [2]
The random variable L denotes the largest of the three numbers drawn.
(ii) Find the probability that L is 4. [1]
(iii) Draw up a table to show the probability distribution of L. [3]
(iv) Calculate the expectation and variance of L.
 
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134
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Box A contains 5 red paper clips and 1 white paper clip. Box B contains 7 red paper clips and 2 white
paper clips. One paper clip is taken at random from box A and transferred to box B. One paper clip
is then taken at random from box B.
(i) Find the probability of taking both a white paper clip from box A and a red paper clip from box B.
[2]
(ii) Find the probability that the paper clip taken from box B is red. [2]
(iii) Find the probability that the paper clip taken from box A was red, given that the paper clip taken
from box B is red. [2]
(iv) The random variable X denotes the number of times that a red paper clip is taken. Draw up a
table to show the probability distribution of X. [4]
 
Messages
283
Reaction score
506
Points
103
A box contains five balls numbered 1, 2, 3, 4, 5. Three balls are drawn randomly at the same time
from the box.
(i) By listing all possible outcomes (123, 124, etc.), find the probability that the sum of the three
numbers drawn is an odd number. [2]
The random variable L denotes the largest of the three numbers drawn.
(ii) Find the probability that L is 4. [1]
(iii) Draw up a table to show the probability distribution of L. [3]
(iv) Calculate the expectation and variance of L.
no one will tell u,every 1 is doin their own work,so ...
 
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134
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The times for a certain car journey have a normal distribution with mean 100 minutes and standard
deviation 7 minutes. Journey times are classified as follows:
‘short’ (the shortest 33% of times),
‘long’ (the longest 33% of times),
‘standard’ (the remaining 34% of times).
(i) Find the probability that a randomly chosen car journey takes between 85 and 100 minutes. [3]
(ii) Find the least and greatest times for ‘standard’ journeys.
 
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134
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(a) Find how many numbers between 5000 and 6000 can be formed from the digits 1, 2, 3, 4, 5 and 6
(i) if no digits are repeated, [2]
(ii) if repeated digits are allowed.
 
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134
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abdul moeed rana said:
same problems here,dont know wat to do in these qs
i know the answers to the questions you posted..but isnce your not willing to help i will also not
 
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