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Exercise 3: In a garden center: 25% of the plants are less than a year old, 60% are 1 to 2 years old, 25% have yellow flowers, 60% have pink flowers, 15% have yellow flowers and less than a year old , 3% are more than 2 years old and have neither yellow nor pink flowers. 15% of those who are 1 to 2 years old have yellow flowers, 15% of those 1-2 years old have neither yellow nor pink flowers. It is assumed that the flowers cannot be both yellow and pink at the same time. We choose a plant at random in this garden center. What is the probability that it is less than a year old and has pink flowers? What is the probability that she has pink flowers, given that she is over 2 years old? What is the probability that it is over two years old and has yellow flowers?

Exercise 3: In a garden center: 25% of the plants are less than a year old, 60% are 1 to 2 years old, 25% have yellow flowers, 60% have pink flowers, 15% have yellow flowers and less than a year old , 3% are more than 2 years old and have neither yellow nor pink flowers. 15% of those who are 1 to 2 years old have yellow flowers, 15% of those 1-2 years old have neither yellow nor pink flowers. It is assumed that the flowers cannot be both yellow and pink at the same time. We choose a plant at random in this garden center. What is the probability that it is less than a year old and has pink flowers? What is the probability that she has pink flowers, given that she is over 2 years old? What is the probability that it is over two years old and has yellow flowers?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Exercise 3:

In a garden center: 25% of the plants are less than a year old, 60% are 1 to 2 years old, 25% have yellow flowers, 60% have pink flowers, 15% have yellow flowers and less than a year old , 3% are more than 2 years old and have neither yellow nor pink flowers. 15% of those who are 1 to 2 years old have

yellow flowers, 15% of those 1-2 years old have neither yellow nor pink flowers. It is assumed that the flowers cannot be both yellow and pink at the same time. We choose a plant at random in this garden center.

  1. What is the probability that it is less than a year old and has pink flowers?
  2. What is the probability that she has pink flowers, given that she is over 2 years old?
  3. What is the probability that it is over two years old and has yellow flowers?
Loi Normale centrée réduite Probabilité de trouver une valeur inférieure à x. f(x) X ooooo ~OTN3 in 600 0,04 0,05 0,00 0,0 0,5000 0,07 0,08 0,5279 0,5319 0,5398 0,5675 0,5714 0,5793 0,6217 0,7852 0,7967 0,8238 0,8264 0,8133 0,8315 0,8340 0,8365 0,8389 0,8554 0,8577 0,8599 0,8621 0,8770 0,8790 0,8810 0,8830 0,8997 1,1 1,2 1,3 1,4 1,5 0,9162 0,9525 0,9535 0,01 0,02 0,03 0,06 0,5040 0,5080 0,5120 0,5160 0,5199 0,5239 0,5438 0,5478 0,5517 0,5557 0,5596 0,5636 0,2 0,5832 0,5871 0,5910 0,5948 0,5987 0,6026 0,6064 0,6103 0,3 0,6179 0,6255 0,6293 0,6331 0,6368 0,6406 0,6443 0,6480 0,4 0,6554 0,6591 0,6628 0,6664 0,6700 0,6736 0,6772 0,6808 0,6844 0,5 0,6915 0,6950 0,6985 0,7019 0,7054 0,7088 0,7123 0,7157 0,7190 0,6 0,7257 0,7291 0,7324 0,7357 0,7389 0,7422 0,7454 0,7486 0,7517 0,7 0,7580 0,7611 0,7642 0,7673 0,7704 0,7734 0,7764 0,7794 0,7823 0,8 0,7881 0,7910 0,7939 0,7995 0,8023 0,8051 0,8078 0,8106 0,9 0,8159 0,8186 0,8212 0,8289 1,0 0,8413 0,8438 0,8 0,8485 0,8508 0,8531 0,8643 0,8665 0,8686 0,8708 0,8729 0,8749 0,8849 0,8869 0,8888 0,8907 0,8925 0,8944 0,8962 0,8980 0,9032 0,9049 0,9066 0,9082 0,9099 0,9115 0,9131 0,9147 0,9192 0,9207 0,9222 0,9236 0,9251 0,9265 0,9332 0,9345 0,9357 0,9370 0,9382 0,9394 0,9452 0,9463 0,9474 0,9484 0,9495 0,9505 0,9554 0,9564 0,9573 0,9582 0,9591 0,9599 0,9641 0,9649 0,9656 0,9664 0,9671 0,9678 0,9713 0,9719 0,9726 0,9732 0,9738 0,9744 0,9750 0,9772 0,9778 0,9783 0,9788 0,9793 0,9798 0,9803 0,9821 0,9826 0,9830 0,9834 0,9838 0,9842 0,9846 0,9861 0,9864 0,9868 0,9871 0,9875 0,9878 0,9881 0,9893 0,9896 0,9898 0,9901 0,9904 0,9906 0,9909 0,9911 0,9913 0,9920 0,9922 0,9925 0,9927 0,9929 0,9931 0,9932 0,9934 0,9941 0,9943 0,9945 0,9946 0,9948 0,9949 0,9951 0,9955 0,9956 0,9957 0,9959 0,9960 0,9961 0,9966 0,9967 0,9968 0,9969 0,9970 0,9971 0,9975 0,9976 0,9977 0,9977 0,9978 0,9979 0,9982 0,9983 0,9984 0,9984 0,9985 0,9985 0,9986 0,9986 0,9987 0,9987 0,9988 0,9988 0,9989 0,9989 0,9989 0,9990 0,9990 0,9991 0,9991 0,9991 0,9992 0,9992 0,9992 0,9992 0,9993 0,9993 0,9993 0,9994 0,9994 0,9994 0,9994 0,9994 0,9995 0,9995 0,9995 0,9995 0,9995 0,9996 0,9996 0,9996 0,9996 0,9996 0,9996 0,9997 0,9997 0,9997 0,9997 0,9997 0,9997 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9279 0,9292 0,9306 0,9406 0,9418 0,9429 0,9515 0,9608 0,9616 0,9625 0,9686 0,9693 0,9699 0,9756 0,9761 0,9808 0,9812 2,2 0,9850 0,9854 0,9884 0,9887 2,3 2,4 0,9918 2,5 0,9938 0,9940 0,9962 0,9963 0,9972 0,9973 0,9979 0,9980 0,9981 0,9982 3,4 0,9997 0,9997 0,9997 0,9997 3,5 0,9998 0,9998 0,9998 0,9998 0,1 L3SSEN - 1,6 1,7 1,8 1,9 12 WN-00 2,0 NNNN 2,1 NN 67890FNME 2,6 0,9953 0,9965 2,8 0,9974 NNN 2,7 N3333505 2,9 0,9981 3,0 0,9987 3,1 0,9990 3,2 0,9993 3,3 0,9995 X Table pour les grandes valeurs de x: 3,2 3,4 +50 3,6 F(x)= [² e du 2π 3,8 0,09 0,5359 0,5753 0,6141 0,6517 0,6879 4,4 0,7224 0,7549 0,9015 0,9177 0,9319 0,9441 0,9545 0,9633 0,9706 0,9767 0,9817 0,9857 0,9890 0,9916 x 4,2 4,6 F(x) 0,99865003 0,99931280 0,99966302 0,99984085 0.99992763 0,99996831 0,999986650,99999458 0,999997890,99999921 0,9936 0,9952 0,9964 0,9974 4,8
Transcribed Image Text:Loi Normale centrée réduite Probabilité de trouver une valeur inférieure à x. f(x) X ooooo ~OTN3 in 600 0,04 0,05 0,00 0,0 0,5000 0,07 0,08 0,5279 0,5319 0,5398 0,5675 0,5714 0,5793 0,6217 0,7852 0,7967 0,8238 0,8264 0,8133 0,8315 0,8340 0,8365 0,8389 0,8554 0,8577 0,8599 0,8621 0,8770 0,8790 0,8810 0,8830 0,8997 1,1 1,2 1,3 1,4 1,5 0,9162 0,9525 0,9535 0,01 0,02 0,03 0,06 0,5040 0,5080 0,5120 0,5160 0,5199 0,5239 0,5438 0,5478 0,5517 0,5557 0,5596 0,5636 0,2 0,5832 0,5871 0,5910 0,5948 0,5987 0,6026 0,6064 0,6103 0,3 0,6179 0,6255 0,6293 0,6331 0,6368 0,6406 0,6443 0,6480 0,4 0,6554 0,6591 0,6628 0,6664 0,6700 0,6736 0,6772 0,6808 0,6844 0,5 0,6915 0,6950 0,6985 0,7019 0,7054 0,7088 0,7123 0,7157 0,7190 0,6 0,7257 0,7291 0,7324 0,7357 0,7389 0,7422 0,7454 0,7486 0,7517 0,7 0,7580 0,7611 0,7642 0,7673 0,7704 0,7734 0,7764 0,7794 0,7823 0,8 0,7881 0,7910 0,7939 0,7995 0,8023 0,8051 0,8078 0,8106 0,9 0,8159 0,8186 0,8212 0,8289 1,0 0,8413 0,8438 0,8 0,8485 0,8508 0,8531 0,8643 0,8665 0,8686 0,8708 0,8729 0,8749 0,8849 0,8869 0,8888 0,8907 0,8925 0,8944 0,8962 0,8980 0,9032 0,9049 0,9066 0,9082 0,9099 0,9115 0,9131 0,9147 0,9192 0,9207 0,9222 0,9236 0,9251 0,9265 0,9332 0,9345 0,9357 0,9370 0,9382 0,9394 0,9452 0,9463 0,9474 0,9484 0,9495 0,9505 0,9554 0,9564 0,9573 0,9582 0,9591 0,9599 0,9641 0,9649 0,9656 0,9664 0,9671 0,9678 0,9713 0,9719 0,9726 0,9732 0,9738 0,9744 0,9750 0,9772 0,9778 0,9783 0,9788 0,9793 0,9798 0,9803 0,9821 0,9826 0,9830 0,9834 0,9838 0,9842 0,9846 0,9861 0,9864 0,9868 0,9871 0,9875 0,9878 0,9881 0,9893 0,9896 0,9898 0,9901 0,9904 0,9906 0,9909 0,9911 0,9913 0,9920 0,9922 0,9925 0,9927 0,9929 0,9931 0,9932 0,9934 0,9941 0,9943 0,9945 0,9946 0,9948 0,9949 0,9951 0,9955 0,9956 0,9957 0,9959 0,9960 0,9961 0,9966 0,9967 0,9968 0,9969 0,9970 0,9971 0,9975 0,9976 0,9977 0,9977 0,9978 0,9979 0,9982 0,9983 0,9984 0,9984 0,9985 0,9985 0,9986 0,9986 0,9987 0,9987 0,9988 0,9988 0,9989 0,9989 0,9989 0,9990 0,9990 0,9991 0,9991 0,9991 0,9992 0,9992 0,9992 0,9992 0,9993 0,9993 0,9993 0,9994 0,9994 0,9994 0,9994 0,9994 0,9995 0,9995 0,9995 0,9995 0,9995 0,9996 0,9996 0,9996 0,9996 0,9996 0,9996 0,9997 0,9997 0,9997 0,9997 0,9997 0,9997 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9279 0,9292 0,9306 0,9406 0,9418 0,9429 0,9515 0,9608 0,9616 0,9625 0,9686 0,9693 0,9699 0,9756 0,9761 0,9808 0,9812 2,2 0,9850 0,9854 0,9884 0,9887 2,3 2,4 0,9918 2,5 0,9938 0,9940 0,9962 0,9963 0,9972 0,9973 0,9979 0,9980 0,9981 0,9982 3,4 0,9997 0,9997 0,9997 0,9997 3,5 0,9998 0,9998 0,9998 0,9998 0,1 L3SSEN - 1,6 1,7 1,8 1,9 12 WN-00 2,0 NNNN 2,1 NN 67890FNME 2,6 0,9953 0,9965 2,8 0,9974 NNN 2,7 N3333505 2,9 0,9981 3,0 0,9987 3,1 0,9990 3,2 0,9993 3,3 0,9995 X Table pour les grandes valeurs de x: 3,2 3,4 +50 3,6 F(x)= [² e du 2π 3,8 0,09 0,5359 0,5753 0,6141 0,6517 0,6879 4,4 0,7224 0,7549 0,9015 0,9177 0,9319 0,9441 0,9545 0,9633 0,9706 0,9767 0,9817 0,9857 0,9890 0,9916 x 4,2 4,6 F(x) 0,99865003 0,99931280 0,99966302 0,99984085 0.99992763 0,99996831 0,999986650,99999458 0,999997890,99999921 0,9936 0,9952 0,9964 0,9974 4,8
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