0.1 0.2 0.3 0.4 0.5 0.6 0.7 .5398 5438 5478 5517 5557 5596 5636 .5675 5714 .5753 5793 5832 5871 5910 5948 .5987 .6026 .6064 6103 .6141 .6179 6217 .6217 .6255 .6293 .6331 .6368.6406 .6443 .6480 .6517 .6554 .6591 .6628 .6664 .6700 .6736 6772 .6808 .6844 .6879 .6915 .6950 .6985 .7019 .7054 7088 7123 .7157 .7190 .7224 .7257 7291 7324 7357 .7389 .7422 7454 .7486 .7517 .7549 7580 .7611 .7642 7673 .7704 7734 .7764 .7794 .7823 .7852 7881 7910 7939 .7967 .7995 8023 .8051 .8078 8106 .8133 .8159 .8186 .8212 8238 .8264 .8289 .8315 .8340 8365 .8389 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 .8643 8665 .8686 8708 .8729 .8749 .8770 .8790 .8810 .8830 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 .9032 .9049 .9066 .9082 .9099 .9115 9131 .9147 .9162 .9177 .9192 .9207 .9222 .9236 9251 .9265 9279 .9292 .9306 .9319 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 .9332 .9345 .9357 9370 9382 .9394 .9406 .9418 .9429 .9441 .9452 .9463 .9474 .9484 .9495 .9505 .9515 9525 .9535 .9545 .9554 9564 9573 9582 .9591 .9599 .9608 .9616 9625 .9633 .9641 9649 .9656 9664 .9671 .9678 9686 9693 9699 .9706 9713 .9719 9726 .9732 .9738 .9744 9750 9756 .9761 .9767 .9772 9778 9783 9788 .9793 .9798 9803 .9808 9812 .9817 .9821 .9826 .9830 .9834 .9838 .9842 .9846 9850 .9854 .9857 1.9 2.0 2.1 The mean weight of a herd of white-tailed deer is 140.3 pounds, with a standard deviation of 7 2 poundsWhat is the probability that a randomly selected deer weighs more than 149 pounds?

To find the probability that a randomly selected deer weighs more than 149 pounds, we first need to standardize the value using the z-score formula:

z = (X - μ) / σ

Where:
X = 149 pounds
μ = 140.3 pounds (mean weight)
σ = 7.2 pounds (standard deviation)

z = (149 - 140.3) / 7.2
z = 0.7667

Next, we will look up the z-score in the standard normal distribution table to find the probability. The z-score of 0.7667 corresponds to a probability of approximately 0.7777.

Therefore, the probability that a randomly selected deer weighs more than 149 pounds is approximately 1 - 0.7777 = 0.2223 or 22.23%.